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Exam 6: Circles

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Exam 1: Line and Angle Relationships13 Questionsadd course
Exam 2: Parallel Lines13 Questionsadd course
Exam 3: Triangles16 Questionsadd course
Exam 4: Quadrilaterals14 Questionsadd course
Exam 5: Similar Triangles12 Questionsadd course
Exam 6: Circles10 Questionsadd course
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Exam 12: Geometry Problems: Complementary Angles, Collinear Points, and Similar Triangles916 Questionsadd course
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-Supply missing statements and missing reasons for the following proof. Given: In the circle, Prove: S1. R1. S2. Draw R2. S3. R3. S4. R4. Congruent angles have equal measures. S5. ? and ? R5. The measure of an inscribed angle equals one-half the measure of its intercepted arc. S6. R6. S7. R7. S8. R8. -Supply missing statements and missing reasons for the following proof. Given: In the circle, -Supply missing statements and missing reasons for the following proof. Given: In the circle, Prove: S1. R1. S2. Draw R2. S3. R3. S4. R4. Congruent angles have equal measures. S5. ? and ? R5. The measure of an inscribed angle equals one-half the measure of its intercepted arc. S6. R6. S7. R7. S8. R8. Prove: -Supply missing statements and missing reasons for the following proof. Given: In the circle, Prove: S1. R1. S2. Draw R2. S3. R3. S4. R4. Congruent angles have equal measures. S5. ? and ? R5. The measure of an inscribed angle equals one-half the measure of its intercepted arc. S6. R6. S7. R7. S8. R8. -Supply missing statements and missing reasons for the following proof. Given: In the circle, Prove: S1. R1. S2. Draw R2. S3. R3. S4. R4. Congruent angles have equal measures. S5. ? and ? R5. The measure of an inscribed angle equals one-half the measure of its intercepted arc. S6. R6. S7. R7. S8. R8. S1. R1. S2. Draw -Supply missing statements and missing reasons for the following proof. Given: In the circle, Prove: S1. R1. S2. Draw R2. S3. R3. S4. R4. Congruent angles have equal measures. S5. ? and ? R5. The measure of an inscribed angle equals one-half the measure of its intercepted arc. S6. R6. S7. R7. S8. R8. R2. S3. -Supply missing statements and missing reasons for the following proof. Given: In the circle, Prove: S1. R1. S2. Draw R2. S3. R3. S4. R4. Congruent angles have equal measures. S5. ? and ? R5. The measure of an inscribed angle equals one-half the measure of its intercepted arc. S6. R6. S7. R7. S8. R8. R3. S4. R4. Congruent angles have equal measures. S5. ? and ? R5. The measure of an inscribed angle equals one-half the measure of its intercepted arc. S6. -Supply missing statements and missing reasons for the following proof. Given: In the circle, Prove: S1. R1. S2. Draw R2. S3. R3. S4. R4. Congruent angles have equal measures. S5. ? and ? R5. The measure of an inscribed angle equals one-half the measure of its intercepted arc. S6. R6. S7. R7. S8. R8. -Supply missing statements and missing reasons for the following proof. Given: In the circle, Prove: S1. R1. S2. Draw R2. S3. R3. S4. R4. Congruent angles have equal measures. S5. ? and ? R5. The measure of an inscribed angle equals one-half the measure of its intercepted arc. S6. R6. S7. R7. S8. R8. R6. S7. -Supply missing statements and missing reasons for the following proof. Given: In the circle, Prove: S1. R1. S2. Draw R2. S3. R3. S4. R4. Congruent angles have equal measures. S5. ? and ? R5. The measure of an inscribed angle equals one-half the measure of its intercepted arc. S6. R6. S7. R7. S8. R8. -Supply missing statements and missing reasons for the following proof. Given: In the circle, Prove: S1. R1. S2. Draw R2. S3. R3. S4. R4. Congruent angles have equal measures. S5. ? and ? R5. The measure of an inscribed angle equals one-half the measure of its intercepted arc. S6. R6. S7. R7. S8. R8. R7. S8. R8.

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Question 1
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S1. In the circle, S1. In the circle, R1. Given R2. Through 2 points, there is exactly one line. R3. If 2 parallel lines are cut ny a transversal, the alternate interior angles are congruent. S4. S5. and R6. Substitution Property of Equality R7. Multiplication Property of Equality S8. R8. If 2 arcs of a circle are equal in measure, these arcs are congruent. R1. Given
R2. Through 2 points, there is exactly one line.
R3. If 2 parallel lines are cut ny a transversal, the alternate interior angles are congruent.
S4. S1. In the circle, R1. Given R2. Through 2 points, there is exactly one line. R3. If 2 parallel lines are cut ny a transversal, the alternate interior angles are congruent. S4. S5. and R6. Substitution Property of Equality R7. Multiplication Property of Equality S8. R8. If 2 arcs of a circle are equal in measure, these arcs are congruent. S5. S1. In the circle, R1. Given R2. Through 2 points, there is exactly one line. R3. If 2 parallel lines are cut ny a transversal, the alternate interior angles are congruent. S4. S5. and R6. Substitution Property of Equality R7. Multiplication Property of Equality S8. R8. If 2 arcs of a circle are equal in measure, these arcs are congruent. and S1. In the circle, R1. Given R2. Through 2 points, there is exactly one line. R3. If 2 parallel lines are cut ny a transversal, the alternate interior angles are congruent. S4. S5. and R6. Substitution Property of Equality R7. Multiplication Property of Equality S8. R8. If 2 arcs of a circle are equal in measure, these arcs are congruent. R6. Substitution Property of Equality
R7. Multiplication Property of Equality
S8. S1. In the circle, R1. Given R2. Through 2 points, there is exactly one line. R3. If 2 parallel lines are cut ny a transversal, the alternate interior angles are congruent. S4. S5. and R6. Substitution Property of Equality R7. Multiplication Property of Equality S8. R8. If 2 arcs of a circle are equal in measure, these arcs are congruent. S1. In the circle, R1. Given R2. Through 2 points, there is exactly one line. R3. If 2 parallel lines are cut ny a transversal, the alternate interior angles are congruent. S4. S5. and R6. Substitution Property of Equality R7. Multiplication Property of Equality S8. R8. If 2 arcs of a circle are equal in measure, these arcs are congruent. R8. If 2 arcs of a circle are equal in measure, these arcs are congruent.

-Supply missing statements and missing reasons for the following proof. Given: Chords and intersect at point N in Prove: ) S1. R1. S2. Draw R2. S3. R3. The measure of an ext. of a is the sum of measures of the two nonadjacent int. . S4. and R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality -Supply missing statements and missing reasons for the following proof. Given: Chords -Supply missing statements and missing reasons for the following proof. Given: Chords and intersect at point N in Prove: ) S1. R1. S2. Draw R2. S3. R3. The measure of an ext. of a is the sum of measures of the two nonadjacent int. . S4. and R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality and -Supply missing statements and missing reasons for the following proof. Given: Chords and intersect at point N in Prove: ) S1. R1. S2. Draw R2. S3. R3. The measure of an ext. of a is the sum of measures of the two nonadjacent int. . S4. and R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality intersect at point N in -Supply missing statements and missing reasons for the following proof. Given: Chords and intersect at point N in Prove: ) S1. R1. S2. Draw R2. S3. R3. The measure of an ext. of a is the sum of measures of the two nonadjacent int. . S4. and R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality Prove: -Supply missing statements and missing reasons for the following proof. Given: Chords and intersect at point N in Prove: ) S1. R1. S2. Draw R2. S3. R3. The measure of an ext. of a is the sum of measures of the two nonadjacent int. . S4. and R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality -Supply missing statements and missing reasons for the following proof. Given: Chords and intersect at point N in Prove: ) S1. R1. S2. Draw R2. S3. R3. The measure of an ext. of a is the sum of measures of the two nonadjacent int. . S4. and R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality ) S1. R1. S2. Draw -Supply missing statements and missing reasons for the following proof. Given: Chords and intersect at point N in Prove: ) S1. R1. S2. Draw R2. S3. R3. The measure of an ext. of a is the sum of measures of the two nonadjacent int. . S4. and R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality R2. S3. -Supply missing statements and missing reasons for the following proof. Given: Chords and intersect at point N in Prove: ) S1. R1. S2. Draw R2. S3. R3. The measure of an ext. of a is the sum of measures of the two nonadjacent int. . S4. and R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality R3. The measure of an ext. -Supply missing statements and missing reasons for the following proof. Given: Chords and intersect at point N in Prove: ) S1. R1. S2. Draw R2. S3. R3. The measure of an ext. of a is the sum of measures of the two nonadjacent int. . S4. and R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality of a -Supply missing statements and missing reasons for the following proof. Given: Chords and intersect at point N in Prove: ) S1. R1. S2. Draw R2. S3. R3. The measure of an ext. of a is the sum of measures of the two nonadjacent int. . S4. and R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality is -Supply missing statements and missing reasons for the following proof. Given: Chords and intersect at point N in Prove: ) S1. R1. S2. Draw R2. S3. R3. The measure of an ext. of a is the sum of measures of the two nonadjacent int. . S4. and R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality the sum of measures of the two nonadjacent int. -Supply missing statements and missing reasons for the following proof. Given: Chords and intersect at point N in Prove: ) S1. R1. S2. Draw R2. S3. R3. The measure of an ext. of a is the sum of measures of the two nonadjacent int. . S4. and R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality . S4. -Supply missing statements and missing reasons for the following proof. Given: Chords and intersect at point N in Prove: ) S1. R1. S2. Draw R2. S3. R3. The measure of an ext. of a is the sum of measures of the two nonadjacent int. . S4. and R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality and -Supply missing statements and missing reasons for the following proof. Given: Chords and intersect at point N in Prove: ) S1. R1. S2. Draw R2. S3. R3. The measure of an ext. of a is the sum of measures of the two nonadjacent int. . S4. and R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality R4. S5. R5. Substitution Property of Equality S6. R6. Substitution Property of Equality

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Question 2
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S1. Chords S1. Chords and intersect at point N in R1. Given R2. Through 2 points, there is exactly one line. R4. In a circle, the measure of an inscribed angle is one-half that of its intercepted arc. S5. S6. ) and S1. Chords and intersect at point N in R1. Given R2. Through 2 points, there is exactly one line. R4. In a circle, the measure of an inscribed angle is one-half that of its intercepted arc. S5. S6. ) intersect at point N in S1. Chords and intersect at point N in R1. Given R2. Through 2 points, there is exactly one line. R4. In a circle, the measure of an inscribed angle is one-half that of its intercepted arc. S5. S6. ) R1. Given
R2. Through 2 points, there is exactly one line.
R4. In a circle, the measure of an inscribed angle is one-half that of its intercepted arc.
S5. S1. Chords and intersect at point N in R1. Given R2. Through 2 points, there is exactly one line. R4. In a circle, the measure of an inscribed angle is one-half that of its intercepted arc. S5. S6. ) S1. Chords and intersect at point N in R1. Given R2. Through 2 points, there is exactly one line. R4. In a circle, the measure of an inscribed angle is one-half that of its intercepted arc. S5. S6. ) S1. Chords and intersect at point N in R1. Given R2. Through 2 points, there is exactly one line. R4. In a circle, the measure of an inscribed angle is one-half that of its intercepted arc. S5. S6. ) S6. S1. Chords and intersect at point N in R1. Given R2. Through 2 points, there is exactly one line. R4. In a circle, the measure of an inscribed angle is one-half that of its intercepted arc. S5. S6. ) S1. Chords and intersect at point N in R1. Given R2. Through 2 points, there is exactly one line. R4. In a circle, the measure of an inscribed angle is one-half that of its intercepted arc. S5. S6. ) )

-Supply missing statements and missing reasons for the proof of the following theorem. An angle inscribed in a semicircle is a right angle. Given: with diameter and (as shown) Prove: is a right angle. S1. R1. S2. R2. S3. R3. The measure of a semicircle is 180. S4. or R4. S5. R5. -Supply missing statements and missing reasons for the proof of the following theorem. "An angle inscribed in a semicircle is a right angle." Given: -Supply missing statements and missing reasons for the proof of the following theorem. An angle inscribed in a semicircle is a right angle. Given: with diameter and (as shown) Prove: is a right angle. S1. R1. S2. R2. S3. R3. The measure of a semicircle is 180. S4. or R4. S5. R5. with diameter -Supply missing statements and missing reasons for the proof of the following theorem. An angle inscribed in a semicircle is a right angle. Given: with diameter and (as shown) Prove: is a right angle. S1. R1. S2. R2. S3. R3. The measure of a semicircle is 180. S4. or R4. S5. R5. and -Supply missing statements and missing reasons for the proof of the following theorem. An angle inscribed in a semicircle is a right angle. Given: with diameter and (as shown) Prove: is a right angle. S1. R1. S2. R2. S3. R3. The measure of a semicircle is 180. S4. or R4. S5. R5. (as shown) Prove: -Supply missing statements and missing reasons for the proof of the following theorem. An angle inscribed in a semicircle is a right angle. Given: with diameter and (as shown) Prove: is a right angle. S1. R1. S2. R2. S3. R3. The measure of a semicircle is 180. S4. or R4. S5. R5. is a right angle. S1. R1. S2. -Supply missing statements and missing reasons for the proof of the following theorem. An angle inscribed in a semicircle is a right angle. Given: with diameter and (as shown) Prove: is a right angle. S1. R1. S2. R2. S3. R3. The measure of a semicircle is 180. S4. or R4. S5. R5. R2. S3. R3. The measure of a semicircle is 180. S4. -Supply missing statements and missing reasons for the proof of the following theorem. An angle inscribed in a semicircle is a right angle. Given: with diameter and (as shown) Prove: is a right angle. S1. R1. S2. R2. S3. R3. The measure of a semicircle is 180. S4. or R4. S5. R5. or -Supply missing statements and missing reasons for the proof of the following theorem. An angle inscribed in a semicircle is a right angle. Given: with diameter and (as shown) Prove: is a right angle. S1. R1. S2. R2. S3. R3. The measure of a semicircle is 180. S4. or R4. S5. R5. R4. S5. R5.

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Question 3
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S1. S1. with diameter and (as shown) R1. Given R2. The measure of an inscribed angle is on-half the degree measure of its intercepted arc. S3. R4. Substitution Property of Equality S5. is a right angle. R5. Definition of a right angle. with diameter S1. with diameter and (as shown) R1. Given R2. The measure of an inscribed angle is on-half the degree measure of its intercepted arc. S3. R4. Substitution Property of Equality S5. is a right angle. R5. Definition of a right angle. and S1. with diameter and (as shown) R1. Given R2. The measure of an inscribed angle is on-half the degree measure of its intercepted arc. S3. R4. Substitution Property of Equality S5. is a right angle. R5. Definition of a right angle. (as shown)
R1. Given
R2. The measure of an inscribed angle is on-half the degree measure of its intercepted arc.
S3. S1. with diameter and (as shown) R1. Given R2. The measure of an inscribed angle is on-half the degree measure of its intercepted arc. S3. R4. Substitution Property of Equality S5. is a right angle. R5. Definition of a right angle. S1. with diameter and (as shown) R1. Given R2. The measure of an inscribed angle is on-half the degree measure of its intercepted arc. S3. R4. Substitution Property of Equality S5. is a right angle. R5. Definition of a right angle. R4. Substitution Property of Equality
S5. S1. with diameter and (as shown) R1. Given R2. The measure of an inscribed angle is on-half the degree measure of its intercepted arc. S3. R4. Substitution Property of Equality S5. is a right angle. R5. Definition of a right angle. is a right angle.
R5. Definition of a right angle.

-Supply missing statements and missing reasons for the following proof. Given: Chords , , , and as shown Prove: S1. R1. S2. R2. S3. R3. If 2 inscribed intercept the same arc, these are . S4. R4. -Supply missing statements and missing reasons for the following proof. Given: Chords -Supply missing statements and missing reasons for the following proof. Given: Chords , , , and as shown Prove: S1. R1. S2. R2. S3. R3. If 2 inscribed intercept the same arc, these are . S4. R4. , -Supply missing statements and missing reasons for the following proof. Given: Chords , , , and as shown Prove: S1. R1. S2. R2. S3. R3. If 2 inscribed intercept the same arc, these are . S4. R4. , -Supply missing statements and missing reasons for the following proof. Given: Chords , , , and as shown Prove: S1. R1. S2. R2. S3. R3. If 2 inscribed intercept the same arc, these are . S4. R4. , and -Supply missing statements and missing reasons for the following proof. Given: Chords , , , and as shown Prove: S1. R1. S2. R2. S3. R3. If 2 inscribed intercept the same arc, these are . S4. R4. as shown Prove: -Supply missing statements and missing reasons for the following proof. Given: Chords , , , and as shown Prove: S1. R1. S2. R2. S3. R3. If 2 inscribed intercept the same arc, these are . S4. R4. S1. R1. S2. -Supply missing statements and missing reasons for the following proof. Given: Chords , , , and as shown Prove: S1. R1. S2. R2. S3. R3. If 2 inscribed intercept the same arc, these are . S4. R4. R2. S3. R3. If 2 inscribed -Supply missing statements and missing reasons for the following proof. Given: Chords , , , and as shown Prove: S1. R1. S2. R2. S3. R3. If 2 inscribed intercept the same arc, these are . S4. R4. intercept the same arc, these -Supply missing statements and missing reasons for the following proof. Given: Chords , , , and as shown Prove: S1. R1. S2. R2. S3. R3. If 2 inscribed intercept the same arc, these are . S4. R4. are -Supply missing statements and missing reasons for the following proof. Given: Chords , , , and as shown Prove: S1. R1. S2. R2. S3. R3. If 2 inscribed intercept the same arc, these are . S4. R4. . S4. R4.

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Question 4

-Use the drawing provided to explain why the following theorem is true. The tangent segments to a circle from an external point are congruent. Given: and are tangent to Prove: [Hint: Use auxiliary line segment .] -Use the drawing provided to explain why the following theorem is true. "The tangent segments to a circle from an external point are congruent." Given: -Use the drawing provided to explain why the following theorem is true. The tangent segments to a circle from an external point are congruent. Given: and are tangent to Prove: [Hint: Use auxiliary line segment .] and -Use the drawing provided to explain why the following theorem is true. The tangent segments to a circle from an external point are congruent. Given: and are tangent to Prove: [Hint: Use auxiliary line segment .] are tangent to -Use the drawing provided to explain why the following theorem is true. The tangent segments to a circle from an external point are congruent. Given: and are tangent to Prove: [Hint: Use auxiliary line segment .] Prove: -Use the drawing provided to explain why the following theorem is true. The tangent segments to a circle from an external point are congruent. Given: and are tangent to Prove: [Hint: Use auxiliary line segment .] [Hint: Use auxiliary line segment -Use the drawing provided to explain why the following theorem is true. The tangent segments to a circle from an external point are congruent. Given: and are tangent to Prove: [Hint: Use auxiliary line segment .] .]

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Question 5

-Supply missing statements and missing reasons for the following proof. Given: in Prove: is an isosceles triangle S1. R1. S2. R2. S3. R3. S4. ? and ? R4. The degree measure of an iscribed angle is equal to one-half the degree measure of its intercepted arc. S5. R5. S6. R6. Definition of congruent angles S7. R7. If two angles of a triangle are congruent, then the two sides that lie opposite those angles are also congruent. S8. R8. -Supply missing statements and missing reasons for the following proof. Given: -Supply missing statements and missing reasons for the following proof. Given: in Prove: is an isosceles triangle S1. R1. S2. R2. S3. R3. S4. ? and ? R4. The degree measure of an iscribed angle is equal to one-half the degree measure of its intercepted arc. S5. R5. S6. R6. Definition of congruent angles S7. R7. If two angles of a triangle are congruent, then the two sides that lie opposite those angles are also congruent. S8. R8. -Supply missing statements and missing reasons for the following proof. Given: in Prove: is an isosceles triangle S1. R1. S2. R2. S3. R3. S4. ? and ? R4. The degree measure of an iscribed angle is equal to one-half the degree measure of its intercepted arc. S5. R5. S6. R6. Definition of congruent angles S7. R7. If two angles of a triangle are congruent, then the two sides that lie opposite those angles are also congruent. S8. R8. in -Supply missing statements and missing reasons for the following proof. Given: in Prove: is an isosceles triangle S1. R1. S2. R2. S3. R3. S4. ? and ? R4. The degree measure of an iscribed angle is equal to one-half the degree measure of its intercepted arc. S5. R5. S6. R6. Definition of congruent angles S7. R7. If two angles of a triangle are congruent, then the two sides that lie opposite those angles are also congruent. S8. R8. Prove: -Supply missing statements and missing reasons for the following proof. Given: in Prove: is an isosceles triangle S1. R1. S2. R2. S3. R3. S4. ? and ? R4. The degree measure of an iscribed angle is equal to one-half the degree measure of its intercepted arc. S5. R5. S6. R6. Definition of congruent angles S7. R7. If two angles of a triangle are congruent, then the two sides that lie opposite those angles are also congruent. S8. R8. is an isosceles triangle S1. R1. S2. -Supply missing statements and missing reasons for the following proof. Given: in Prove: is an isosceles triangle S1. R1. S2. R2. S3. R3. S4. ? and ? R4. The degree measure of an iscribed angle is equal to one-half the degree measure of its intercepted arc. S5. R5. S6. R6. Definition of congruent angles S7. R7. If two angles of a triangle are congruent, then the two sides that lie opposite those angles are also congruent. S8. R8. -Supply missing statements and missing reasons for the following proof. Given: in Prove: is an isosceles triangle S1. R1. S2. R2. S3. R3. S4. ? and ? R4. The degree measure of an iscribed angle is equal to one-half the degree measure of its intercepted arc. S5. R5. S6. R6. Definition of congruent angles S7. R7. If two angles of a triangle are congruent, then the two sides that lie opposite those angles are also congruent. S8. R8. R2. S3. -Supply missing statements and missing reasons for the following proof. Given: in Prove: is an isosceles triangle S1. R1. S2. R2. S3. R3. S4. ? and ? R4. The degree measure of an iscribed angle is equal to one-half the degree measure of its intercepted arc. S5. R5. S6. R6. Definition of congruent angles S7. R7. If two angles of a triangle are congruent, then the two sides that lie opposite those angles are also congruent. S8. R8. -Supply missing statements and missing reasons for the following proof. Given: in Prove: is an isosceles triangle S1. R1. S2. R2. S3. R3. S4. ? and ? R4. The degree measure of an iscribed angle is equal to one-half the degree measure of its intercepted arc. S5. R5. S6. R6. Definition of congruent angles S7. R7. If two angles of a triangle are congruent, then the two sides that lie opposite those angles are also congruent. S8. R8. R3. S4. ? and ? R4. The degree measure of an iscribed angle is equal to one-half the degree measure of its intercepted arc. S5. -Supply missing statements and missing reasons for the following proof. Given: in Prove: is an isosceles triangle S1. R1. S2. R2. S3. R3. S4. ? and ? R4. The degree measure of an iscribed angle is equal to one-half the degree measure of its intercepted arc. S5. R5. S6. R6. Definition of congruent angles S7. R7. If two angles of a triangle are congruent, then the two sides that lie opposite those angles are also congruent. S8. R8. R5. S6. R6. Definition of congruent angles S7. R7. If two angles of a triangle are congruent, then the two sides that lie opposite those angles are also congruent. S8. R8.

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Question 6

-Supply missing statements and missing reasons for the following proof. Given: ; chords and intersect at point V Prove: S1. R1. S2. Draw and . R2. S3. R3. Vertical angles are congruent. S4. R4. S5. R5. AA S6. R6. S7. R7. Means-Extremes Property of a Proportion -Supply missing statements and missing reasons for the following proof. Given: -Supply missing statements and missing reasons for the following proof. Given: ; chords and intersect at point V Prove: S1. R1. S2. Draw and . R2. S3. R3. Vertical angles are congruent. S4. R4. S5. R5. AA S6. R6. S7. R7. Means-Extremes Property of a Proportion ; chords -Supply missing statements and missing reasons for the following proof. Given: ; chords and intersect at point V Prove: S1. R1. S2. Draw and . R2. S3. R3. Vertical angles are congruent. S4. R4. S5. R5. AA S6. R6. S7. R7. Means-Extremes Property of a Proportion and -Supply missing statements and missing reasons for the following proof. Given: ; chords and intersect at point V Prove: S1. R1. S2. Draw and . R2. S3. R3. Vertical angles are congruent. S4. R4. S5. R5. AA S6. R6. S7. R7. Means-Extremes Property of a Proportion intersect at point V Prove: -Supply missing statements and missing reasons for the following proof. Given: ; chords and intersect at point V Prove: S1. R1. S2. Draw and . R2. S3. R3. Vertical angles are congruent. S4. R4. S5. R5. AA S6. R6. S7. R7. Means-Extremes Property of a Proportion S1. R1. S2. Draw -Supply missing statements and missing reasons for the following proof. Given: ; chords and intersect at point V Prove: S1. R1. S2. Draw and . R2. S3. R3. Vertical angles are congruent. S4. R4. S5. R5. AA S6. R6. S7. R7. Means-Extremes Property of a Proportion and -Supply missing statements and missing reasons for the following proof. Given: ; chords and intersect at point V Prove: S1. R1. S2. Draw and . R2. S3. R3. Vertical angles are congruent. S4. R4. S5. R5. AA S6. R6. S7. R7. Means-Extremes Property of a Proportion . R2. S3. R3. Vertical angles are congruent. S4. -Supply missing statements and missing reasons for the following proof. Given: ; chords and intersect at point V Prove: S1. R1. S2. Draw and . R2. S3. R3. Vertical angles are congruent. S4. R4. S5. R5. AA S6. R6. S7. R7. Means-Extremes Property of a Proportion R4. S5. R5. AA S6. -Supply missing statements and missing reasons for the following proof. Given: ; chords and intersect at point V Prove: S1. R1. S2. Draw and . R2. S3. R3. Vertical angles are congruent. S4. R4. S5. R5. AA S6. R6. S7. R7. Means-Extremes Property of a Proportion R6. S7. R7. Means-Extremes Property of a Proportion

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Question 7

-Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. -Supply missing reasons for the following proof. Given: -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. with diameter -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. Prove: -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. S1. -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. with diameter -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. R1. S2. Draw radius -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. R2. S3. -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. R3. S4. -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. R4. S5. -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. R5. S6. -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. R6. S7. -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. or R7. -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. S8. -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. R8. S9. But -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. R9. S10. Then -Supply missing reasons for the following proof. Given: with diameter Prove: S1. with diameter R1. S2. Draw radius R2. S3. R3. S4. R4. S5. R5. S6. R6. S7. or R7. S8. R8. S9. But R9. S10. Then R10. R10.

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Question 8

-Supply all statements and all reasons for the proof that follows. Given: ; Prove: -Supply all statements and all reasons for the proof that follows. Given: -Supply all statements and all reasons for the proof that follows. Given: ; Prove: ; -Supply all statements and all reasons for the proof that follows. Given: ; Prove: Prove: -Supply all statements and all reasons for the proof that follows. Given: ; Prove: -Supply all statements and all reasons for the proof that follows. Given: ; Prove:

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Question 9

Explain why the following must be true. Given: Points A, B, and C lie on Explain why the following must be true. Given: Points A, B, and C lie on in such a way that ; also, chords , , and (no drawing provided) Prove: must be an isosceles triangle. in such a way that Explain why the following must be true. Given: Points A, B, and C lie on in such a way that ; also, chords , , and (no drawing provided) Prove: must be an isosceles triangle. Explain why the following must be true. Given: Points A, B, and C lie on in such a way that ; also, chords , , and (no drawing provided) Prove: must be an isosceles triangle. ; also, chords Explain why the following must be true. Given: Points A, B, and C lie on in such a way that ; also, chords , , and (no drawing provided) Prove: must be an isosceles triangle. , Explain why the following must be true. Given: Points A, B, and C lie on in such a way that ; also, chords , , and (no drawing provided) Prove: must be an isosceles triangle. , and Explain why the following must be true. Given: Points A, B, and C lie on in such a way that ; also, chords , , and (no drawing provided) Prove: must be an isosceles triangle. (no drawing provided) Prove: Explain why the following must be true. Given: Points A, B, and C lie on in such a way that ; also, chords , , and (no drawing provided) Prove: must be an isosceles triangle. must be an isosceles triangle.

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Question 10
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