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Exam 1: Line and Angle Relationships

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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
Exam 7: Locus and Concurrence4 Questionsadd course
Exam 8: Areas of Polygons and Circles5 Questionsadd course
Exam 9: Surfaces and Solids4 Questionsadd course
Exam 10: Analytical Geometry8 Questionsadd course
Exam 11: Introduction to Trigonometry4 Questionsadd course
Exam 12: Geometry Problems: Complementary Angles, Collinear Points, and Similar Triangles916 Questionsadd course
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-Given: and are supplementary Prove: Supply missing statements and missing reasons for this proof. S1. and are supplementary R1. S2. R2. If the exterior sides of 2 adjacent angles form a straight line, the angles are supplementary. S3. R3. Two angles that are supplementray to the same angle are congruent. -Given: -Given: and are supplementary Prove: Supply missing statements and missing reasons for this proof. S1. and are supplementary R1. S2. R2. If the exterior sides of 2 adjacent angles form a straight line, the angles are supplementary. S3. R3. Two angles that are supplementray to the same angle are congruent. and -Given: and are supplementary Prove: Supply missing statements and missing reasons for this proof. S1. and are supplementary R1. S2. R2. If the exterior sides of 2 adjacent angles form a straight line, the angles are supplementary. S3. R3. Two angles that are supplementray to the same angle are congruent. are supplementary Prove: -Given: and are supplementary Prove: Supply missing statements and missing reasons for this proof. S1. and are supplementary R1. S2. R2. If the exterior sides of 2 adjacent angles form a straight line, the angles are supplementary. S3. R3. Two angles that are supplementray to the same angle are congruent. Supply missing statements and missing reasons for this proof. S1. -Given: and are supplementary Prove: Supply missing statements and missing reasons for this proof. S1. and are supplementary R1. S2. R2. If the exterior sides of 2 adjacent angles form a straight line, the angles are supplementary. S3. R3. Two angles that are supplementray to the same angle are congruent. and -Given: and are supplementary Prove: Supply missing statements and missing reasons for this proof. S1. and are supplementary R1. S2. R2. If the exterior sides of 2 adjacent angles form a straight line, the angles are supplementary. S3. R3. Two angles that are supplementray to the same angle are congruent. are supplementary R1. S2. R2. If the exterior sides of 2 adjacent angles form a straight line, the angles are supplementary. S3. R3. Two angles that are supplementray to the same angle are congruent.

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Question 1
Correct Answer:
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R1. Given
S2. R1. Given S2. and are supplementary. S3. and R1. Given S2. and are supplementary. S3. are supplementary.
S3. R1. Given S2. and are supplementary. S3.

-Supply missing statements and reasons for the following proof. Given: and intersect at point X Prove: S1. R1. S2. and are supp. R2. S3. R3. If the exterior sides of two adjacent angles form a straight line, these angles are supplementary. S4. R4. Two angles that are supplementary to the same angle are congruent. -Supply missing statements and reasons for the following proof. Given: -Supply missing statements and reasons for the following proof. Given: and intersect at point X Prove: S1. R1. S2. and are supp. R2. S3. R3. If the exterior sides of two adjacent angles form a straight line, these angles are supplementary. S4. R4. Two angles that are supplementary to the same angle are congruent. and -Supply missing statements and reasons for the following proof. Given: and intersect at point X Prove: S1. R1. S2. and are supp. R2. S3. R3. If the exterior sides of two adjacent angles form a straight line, these angles are supplementary. S4. R4. Two angles that are supplementary to the same angle are congruent. intersect at point X Prove: -Supply missing statements and reasons for the following proof. Given: and intersect at point X Prove: S1. R1. S2. and are supp. R2. S3. R3. If the exterior sides of two adjacent angles form a straight line, these angles are supplementary. S4. R4. Two angles that are supplementary to the same angle are congruent. S1. R1. S2. -Supply missing statements and reasons for the following proof. Given: and intersect at point X Prove: S1. R1. S2. and are supp. R2. S3. R3. If the exterior sides of two adjacent angles form a straight line, these angles are supplementary. S4. R4. Two angles that are supplementary to the same angle are congruent. and -Supply missing statements and reasons for the following proof. Given: and intersect at point X Prove: S1. R1. S2. and are supp. R2. S3. R3. If the exterior sides of two adjacent angles form a straight line, these angles are supplementary. S4. R4. Two angles that are supplementary to the same angle are congruent. are supp. R2. S3. R3. If the exterior sides of two adjacent angles form a straight line, these angles are supplementary. S4. R4. Two angles that are supplementary to the same angle are congruent.

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Question 2
Correct Answer:
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S1. S1. and intersect at point X R1. Given S3. and are supp. S4. and S1. and intersect at point X R1. Given S3. and are supp. S4. intersect at point X
R1. Given
S3. S1. and intersect at point X R1. Given S3. and are supp. S4. and S1. and intersect at point X R1. Given S3. and are supp. S4. are supp.
S4. S1. and intersect at point X R1. Given S3. and are supp. S4.

-Supply all statements and reasons in the following proof. Given: is a right angle. Prove: and are complementary. -Supply all statements and reasons in the following proof. Given: -Supply all statements and reasons in the following proof. Given: is a right angle. Prove: and are complementary. is a right angle. Prove: -Supply all statements and reasons in the following proof. Given: is a right angle. Prove: and are complementary. and -Supply all statements and reasons in the following proof. Given: is a right angle. Prove: and are complementary. are complementary.

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Question 3
Correct Answer:
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S1. S1. is a right angle. R1. Given S2. R2. Definition of right angle S3. R3. Angle-Addition Postulate S4. R4. Substitution Property of Equality S5. and are complementary. R5. Definition of complementary angles. is a right angle. R1. Given
S2. S1. is a right angle. R1. Given S2. R2. Definition of right angle S3. R3. Angle-Addition Postulate S4. R4. Substitution Property of Equality S5. and are complementary. R5. Definition of complementary angles. R2. Definition of right angle
S3. S1. is a right angle. R1. Given S2. R2. Definition of right angle S3. R3. Angle-Addition Postulate S4. R4. Substitution Property of Equality S5. and are complementary. R5. Definition of complementary angles. R3. Angle-Addition Postulate
S4. S1. is a right angle. R1. Given S2. R2. Definition of right angle S3. R3. Angle-Addition Postulate S4. R4. Substitution Property of Equality S5. and are complementary. R5. Definition of complementary angles. R4. Substitution Property of Equality
S5. S1. is a right angle. R1. Given S2. R2. Definition of right angle S3. R3. Angle-Addition Postulate S4. R4. Substitution Property of Equality S5. and are complementary. R5. Definition of complementary angles. and S1. is a right angle. R1. Given S2. R2. Definition of right angle S3. R3. Angle-Addition Postulate S4. R4. Substitution Property of Equality S5. and are complementary. R5. Definition of complementary angles. are complementary. R5. Definition of complementary angles.

-Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. -Given: -Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. is complementary to -Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. ; -Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. is complementary to -Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. (no drawing provided) Prove: -Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. ​ Supply missing reasons for this proof. ​ S1. -Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. is complementary to -Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. R1. S2. -Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. is complementary to -Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. R2. S3. -Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. R3. S4. -Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. R4. S5. -Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. R5. S6. -Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. R6. S7, -Given: is complementary to ; is complementary to (no drawing provided) Prove: ​ Supply missing reasons for this proof. ​ S1. is complementary to R1. S2. is complementary to R2. S3. R3. S4. R4. S5. R5. S6. R6. S7, R7. R7.

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Question 4

-Provide missing statements and reasons for the following proof. Given: bisects Prove: S1. R1. Given S2. R2. S3. R3. Angle-Addition Postulate S4. R4. or -Provide missing statements and reasons for the following proof. Given: -Provide missing statements and reasons for the following proof. Given: bisects Prove: S1. R1. Given S2. R2. S3. R3. Angle-Addition Postulate S4. R4. or bisects -Provide missing statements and reasons for the following proof. Given: bisects Prove: S1. R1. Given S2. R2. S3. R3. Angle-Addition Postulate S4. R4. or Prove: -Provide missing statements and reasons for the following proof. Given: bisects Prove: S1. R1. Given S2. R2. S3. R3. Angle-Addition Postulate S4. R4. or S1. R1. Given S2. -Provide missing statements and reasons for the following proof. Given: bisects Prove: S1. R1. Given S2. R2. S3. R3. Angle-Addition Postulate S4. R4. or R2. S3. R3. Angle-Addition Postulate S4. -Provide missing statements and reasons for the following proof. Given: bisects Prove: S1. R1. Given S2. R2. S3. R3. Angle-Addition Postulate S4. R4. or R4. or

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Question 5

-Given: is a right angle Prove: and are complementary Supply missing statements and missing reasons for this proof. S1. R1. Given S2. R2. S3. R3. Angle-Addition Postulate S4. R4. S5. R5. -Given: -Given: is a right angle Prove: and are complementary Supply missing statements and missing reasons for this proof. S1. R1. Given S2. R2. S3. R3. Angle-Addition Postulate S4. R4. S5. R5. is a right angle Prove: -Given: is a right angle Prove: and are complementary Supply missing statements and missing reasons for this proof. S1. R1. Given S2. R2. S3. R3. Angle-Addition Postulate S4. R4. S5. R5. and -Given: is a right angle Prove: and are complementary Supply missing statements and missing reasons for this proof. S1. R1. Given S2. R2. S3. R3. Angle-Addition Postulate S4. R4. S5. R5. are complementary Supply missing statements and missing reasons for this proof. S1. R1. Given S2. -Given: is a right angle Prove: and are complementary Supply missing statements and missing reasons for this proof. S1. R1. Given S2. R2. S3. R3. Angle-Addition Postulate S4. R4. S5. R5. R2. S3. -Given: is a right angle Prove: and are complementary Supply missing statements and missing reasons for this proof. S1. R1. Given S2. R2. S3. R3. Angle-Addition Postulate S4. R4. S5. R5. R3. Angle-Addition Postulate S4. -Given: is a right angle Prove: and are complementary Supply missing statements and missing reasons for this proof. S1. R1. Given S2. R2. S3. R3. Angle-Addition Postulate S4. R4. S5. R5. R4. S5. R5.

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Question 6

-Given: In , ; is a right angle. Prove: and are complementary. ​ Provide all statements and reasons for this proof. -Given: In -Given: In , ; is a right angle. Prove: and are complementary. ​ Provide all statements and reasons for this proof. , -Given: In , ; is a right angle. Prove: and are complementary. ​ Provide all statements and reasons for this proof. ; -Given: In , ; is a right angle. Prove: and are complementary. ​ Provide all statements and reasons for this proof. is a right angle. Prove: -Given: In , ; is a right angle. Prove: and are complementary. ​ Provide all statements and reasons for this proof. and -Given: In , ; is a right angle. Prove: and are complementary. ​ Provide all statements and reasons for this proof. are complementary. ​ Provide all statements and reasons for this proof.

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Question 7

-Given: A-B-C-D as shown Prove: Supply missing statements and missing reasons for this proof: S1. R1. S2. R2. S3. R3. Segment-Addition Postulate S4. R4. Substitution Property of Equality -Given: A-B-C-D as shown Prove: -Given: A-B-C-D as shown Prove: Supply missing statements and missing reasons for this proof: S1. R1. S2. R2. S3. R3. Segment-Addition Postulate S4. R4. Substitution Property of Equality Supply missing statements and missing reasons for this proof: S1. R1. S2. -Given: A-B-C-D as shown Prove: Supply missing statements and missing reasons for this proof: S1. R1. S2. R2. S3. R3. Segment-Addition Postulate S4. R4. Substitution Property of Equality R2. S3. -Given: A-B-C-D as shown Prove: Supply missing statements and missing reasons for this proof: S1. R1. S2. R2. S3. R3. Segment-Addition Postulate S4. R4. Substitution Property of Equality R3. Segment-Addition Postulate S4. R4. Substitution Property of Equality

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Question 8

-Given: Prove: Provide the statements for this proof. S1. R1. Given S2. R2. Distributive Law (FOIL) S3. R3. Substitution Proerty of Equality S4. R4. Addition Property of Equality -Given: -Given: Prove: Provide the statements for this proof. S1. R1. Given S2. R2. Distributive Law (FOIL) S3. R3. Substitution Proerty of Equality S4. R4. Addition Property of Equality Prove: -Given: Prove: Provide the statements for this proof. S1. R1. Given S2. R2. Distributive Law (FOIL) S3. R3. Substitution Proerty of Equality S4. R4. Addition Property of Equality Provide the statements for this proof. S1. R1. Given S2. R2. Distributive Law (FOIL) S3. R3. Substitution Proerty of Equality S4. R4. Addition Property of Equality

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Question 9

-Given: Prove: Provide the missing reasons for this proof: S1. R1. S2. R2. S3. R3. S4. R4. S5. R5. -Given: -Given: Prove: Provide the missing reasons for this proof: S1. R1. S2. R2. S3. R3. S4. R4. S5. R5. Prove: -Given: Prove: Provide the missing reasons for this proof: S1. R1. S2. R2. S3. R3. S4. R4. S5. R5. Provide the missing reasons for this proof: S1. -Given: Prove: Provide the missing reasons for this proof: S1. R1. S2. R2. S3. R3. S4. R4. S5. R5. R1. S2. -Given: Prove: Provide the missing reasons for this proof: S1. R1. S2. R2. S3. R3. S4. R4. S5. R5. R2. S3. -Given: Prove: Provide the missing reasons for this proof: S1. R1. S2. R2. S3. R3. S4. R4. S5. R5. R3. S4. -Given: Prove: Provide the missing reasons for this proof: S1. R1. S2. R2. S3. R3. S4. R4. S5. R5. R4. S5. -Given: Prove: Provide the missing reasons for this proof: S1. R1. S2. R2. S3. R3. S4. R4. S5. R5. R5.

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Question 10

-In the figure, A-B-C. Explain why and must be supplementary. -In the figure, A-B-C. Explain why -In the figure, A-B-C. Explain why and must be supplementary. and -In the figure, A-B-C. Explain why and must be supplementary. must be supplementary.

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Question 11

-Prove: Any two right angles are congruent. ​ Use the following drawing. Provide all statements and reasons. ​ Given: Right angles 1 and 2 Prove: -Prove: Any two right angles are congruent. ​ Use the following drawing. Provide all statements and reasons. ​ Given: Right angles 1 and 2 Prove: -Prove: Any two right angles are congruent. ​ Use the following drawing. Provide all statements and reasons. ​ Given: Right angles 1 and 2 Prove:

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Question 12

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

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Question 13
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