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Exam 3: Triangles

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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 9: Surfaces and Solids4 Questionsadd course
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Exam 11: Introduction to Trigonometry4 Questionsadd course
Exam 12: Geometry Problems: Complementary Angles, Collinear Points, and Similar Triangles916 Questionsadd course
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-Provide the missing reasons for the following proof. Given: M is the midpoint of ; also, Prove: S1. M is the midpoint of R1. S2. R2. S3. R3. S4. R4. S5. R5. -Provide the missing reasons for the following proof. Given: M is the midpoint of -Provide the missing reasons for the following proof. Given: M is the midpoint of ; also, Prove: S1. M is the midpoint of R1. S2. R2. S3. R3. S4. R4. S5. R5. ; also, -Provide the missing reasons for the following proof. Given: M is the midpoint of ; also, Prove: S1. M is the midpoint of R1. S2. R2. S3. R3. S4. R4. S5. R5. Prove: -Provide the missing reasons for the following proof. Given: M is the midpoint of ; also, Prove: S1. M is the midpoint of R1. S2. R2. S3. R3. S4. R4. S5. R5. S1. M is the midpoint of -Provide the missing reasons for the following proof. Given: M is the midpoint of ; also, Prove: S1. M is the midpoint of R1. S2. R2. S3. R3. S4. R4. S5. R5. R1. S2. -Provide the missing reasons for the following proof. Given: M is the midpoint of ; also, Prove: S1. M is the midpoint of R1. S2. R2. S3. R3. S4. R4. S5. R5. R2. S3. -Provide the missing reasons for the following proof. Given: M is the midpoint of ; also, Prove: S1. M is the midpoint of R1. S2. R2. S3. R3. S4. R4. S5. R5. R3. S4. -Provide the missing reasons for the following proof. Given: M is the midpoint of ; also, Prove: S1. M is the midpoint of R1. S2. R2. S3. R3. S4. R4. S5. R5. R4. S5. -Provide the missing reasons for the following proof. Given: M is the midpoint of ; also, Prove: S1. M is the midpoint of R1. S2. R2. S3. R3. S4. R4. S5. R5. R5.

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Question 1
Correct Answer:
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R1. Given
R2. Definition of midpoint
R3. Given
R4. Identity
R5. SSS

-Provide missing statements for the following proof. Given: and Prove: S1. R1. Given S2. R2. Vertical angles are congruent. S3. R3. SAS -Provide missing statements for the following proof. Given: -Provide missing statements for the following proof. Given: and Prove: S1. R1. Given S2. R2. Vertical angles are congruent. S3. R3. SAS and -Provide missing statements for the following proof. Given: and Prove: S1. R1. Given S2. R2. Vertical angles are congruent. S3. R3. SAS Prove: -Provide missing statements for the following proof. Given: and Prove: S1. R1. Given S2. R2. Vertical angles are congruent. S3. R3. SAS S1. R1. Given S2. R2. Vertical angles are congruent. S3. R3. SAS

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Question 2
Correct Answer:
Verified

S1. S1. and S2. S3. and S1. and S2. S3. S2. S1. and S2. S3. S3. S1. and S2. S3.

-Provide all statements and all reasons for this proof. Given: with ; with Prove: -Provide all statements and all reasons for this proof. Given: -Provide all statements and all reasons for this proof. Given: with ; with Prove: with -Provide all statements and all reasons for this proof. Given: with ; with Prove: ; -Provide all statements and all reasons for this proof. Given: with ; with Prove: with -Provide all statements and all reasons for this proof. Given: with ; with Prove: Prove: -Provide all statements and all reasons for this proof. Given: with ; with Prove:

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Question 3
Correct Answer:
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S1. S1. with R1. Given S2. with R2. Given S3. R3. Identity S4. R4. SSS with S1. with R1. Given S2. with R2. Given S3. R3. Identity S4. R4. SSS R1. Given
S2. S1. with R1. Given S2. with R2. Given S3. R3. Identity S4. R4. SSS with S1. with R1. Given S2. with R2. Given S3. R3. Identity S4. R4. SSS R2. Given
S3. S1. with R1. Given S2. with R2. Given S3. R3. Identity S4. R4. SSS R3. Identity
S4. S1. with R1. Given S2. with R2. Given S3. R3. Identity S4. R4. SSS R4. SSS

-Provide mssing statements and missing reasons for the proof of the theorem, Corresponding altitudes of congruent triangles are congruent. Given: ; and Prove: S1. R1. S2. and R2. S3. R3. Given S4. and are rt. R4. S5. R5. All right angles are congruent. S6. R6. S7. R7. -Provide mssing statements and missing reasons for the proof of the theorem, "Corresponding altitudes of congruent triangles are congruent." Given: -Provide mssing statements and missing reasons for the proof of the theorem, Corresponding altitudes of congruent triangles are congruent. Given: ; and Prove: S1. R1. S2. and R2. S3. R3. Given S4. and are rt. R4. S5. R5. All right angles are congruent. S6. R6. S7. R7. ; -Provide mssing statements and missing reasons for the proof of the theorem, Corresponding altitudes of congruent triangles are congruent. Given: ; and Prove: S1. R1. S2. and R2. S3. R3. Given S4. and are rt. R4. S5. R5. All right angles are congruent. S6. R6. S7. R7. and -Provide mssing statements and missing reasons for the proof of the theorem, Corresponding altitudes of congruent triangles are congruent. Given: ; and Prove: S1. R1. S2. and R2. S3. R3. Given S4. and are rt. R4. S5. R5. All right angles are congruent. S6. R6. S7. R7. Prove: -Provide mssing statements and missing reasons for the proof of the theorem, Corresponding altitudes of congruent triangles are congruent. Given: ; and Prove: S1. R1. S2. and R2. S3. R3. Given S4. and are rt. R4. S5. R5. All right angles are congruent. S6. R6. S7. R7. S1. -Provide mssing statements and missing reasons for the proof of the theorem, Corresponding altitudes of congruent triangles are congruent. Given: ; and Prove: S1. R1. S2. and R2. S3. R3. Given S4. and are rt. R4. S5. R5. All right angles are congruent. S6. R6. S7. R7. R1. S2. -Provide mssing statements and missing reasons for the proof of the theorem, Corresponding altitudes of congruent triangles are congruent. Given: ; and Prove: S1. R1. S2. and R2. S3. R3. Given S4. and are rt. R4. S5. R5. All right angles are congruent. S6. R6. S7. R7. and -Provide mssing statements and missing reasons for the proof of the theorem, Corresponding altitudes of congruent triangles are congruent. Given: ; and Prove: S1. R1. S2. and R2. S3. R3. Given S4. and are rt. R4. S5. R5. All right angles are congruent. S6. R6. S7. R7. R2. S3. R3. Given S4. -Provide mssing statements and missing reasons for the proof of the theorem, Corresponding altitudes of congruent triangles are congruent. Given: ; and Prove: S1. R1. S2. and R2. S3. R3. Given S4. and are rt. R4. S5. R5. All right angles are congruent. S6. R6. S7. R7. and -Provide mssing statements and missing reasons for the proof of the theorem, Corresponding altitudes of congruent triangles are congruent. Given: ; and Prove: S1. R1. S2. and R2. S3. R3. Given S4. and are rt. R4. S5. R5. All right angles are congruent. S6. R6. S7. R7. are rt. -Provide mssing statements and missing reasons for the proof of the theorem, Corresponding altitudes of congruent triangles are congruent. Given: ; and Prove: S1. R1. S2. and R2. S3. R3. Given S4. and are rt. R4. S5. R5. All right angles are congruent. S6. R6. S7. R7. R4. S5. R5. All right angles are congruent. S6. -Provide mssing statements and missing reasons for the proof of the theorem, Corresponding altitudes of congruent triangles are congruent. Given: ; and Prove: S1. R1. S2. and R2. S3. R3. Given S4. and are rt. R4. S5. R5. All right angles are congruent. S6. R6. S7. R7. R6. S7. R7.

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Question 4

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

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Question 5

-In the figure provided, . Explain why it is necessary that is also congruent to -In the figure provided, -In the figure provided, . Explain why it is necessary that is also congruent to . Explain why it is necessary that -In the figure provided, . Explain why it is necessary that is also congruent to is also congruent to -In the figure provided, . Explain why it is necessary that is also congruent to

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Question 6

-Provide missing statements and missing reasons for the proof of the theorem, If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. Given: with Prove: S1. R1. S2. Draw the angle bisector for R2. Every angle has exactly one angle-bisector. S3. R3. S4. R4. -Provide missing statements and missing reasons for the proof of the theorem, "If two sides of a triangle are congruent, then the angles opposite those sides are also congruent." Given: -Provide missing statements and missing reasons for the proof of the theorem, If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. Given: with Prove: S1. R1. S2. Draw the angle bisector for R2. Every angle has exactly one angle-bisector. S3. R3. S4. R4. with -Provide missing statements and missing reasons for the proof of the theorem, If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. Given: with Prove: S1. R1. S2. Draw the angle bisector for R2. Every angle has exactly one angle-bisector. S3. R3. S4. R4. Prove: -Provide missing statements and missing reasons for the proof of the theorem, If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. Given: with Prove: S1. R1. S2. Draw the angle bisector for R2. Every angle has exactly one angle-bisector. S3. R3. S4. R4. S1. R1. S2. Draw the angle bisector for -Provide missing statements and missing reasons for the proof of the theorem, If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. Given: with Prove: S1. R1. S2. Draw the angle bisector for R2. Every angle has exactly one angle-bisector. S3. R3. S4. R4. R2. Every angle has exactly one angle-bisector. S3. -Provide missing statements and missing reasons for the proof of the theorem, If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. Given: with Prove: S1. R1. S2. Draw the angle bisector for R2. Every angle has exactly one angle-bisector. S3. R3. S4. R4. R3. S4. R4.

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Question 7

-Use the given drawing and information to prove Theorem 3.1.1 (AAS). Provide all statements and reasons. Given: , , and Prove: -Use the given drawing and information to prove Theorem 3.1.1 (AAS). Provide all statements and reasons. Given: -Use the given drawing and information to prove Theorem 3.1.1 (AAS). Provide all statements and reasons. Given: , , and Prove: , -Use the given drawing and information to prove Theorem 3.1.1 (AAS). Provide all statements and reasons. Given: , , and Prove: , and -Use the given drawing and information to prove Theorem 3.1.1 (AAS). Provide all statements and reasons. Given: , , and Prove: Prove: -Use the given drawing and information to prove Theorem 3.1.1 (AAS). Provide all statements and reasons. Given: , , and Prove:

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Question 8

-Explain why the angle-bisector method is justified. Consider that the given angle, , is to be bisected by the constructed ray, . -Explain why the angle-bisector method is justified. Consider that the given angle, -Explain why the angle-bisector method is justified. Consider that the given angle, , is to be bisected by the constructed ray, . , is to be bisected by the constructed ray, -Explain why the angle-bisector method is justified. Consider that the given angle, , is to be bisected by the constructed ray, . .

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Question 9

-Supply missing statements and missing reasons for the following proof. Given: and Prove: S1. R1. S2. R2. If the measure of one of a is greater than the measure of a 2nd of the , then the side opposite the larger is longer than the side opposite the smaller . S3. R3. -Supply missing statements and missing reasons for the following proof. Given: -Supply missing statements and missing reasons for the following proof. Given: and Prove: S1. R1. S2. R2. If the measure of one of a is greater than the measure of a 2nd of the , then the side opposite the larger is longer than the side opposite the smaller . S3. R3. and -Supply missing statements and missing reasons for the following proof. Given: and Prove: S1. R1. S2. R2. If the measure of one of a is greater than the measure of a 2nd of the , then the side opposite the larger is longer than the side opposite the smaller . S3. R3. Prove: -Supply missing statements and missing reasons for the following proof. Given: and Prove: S1. R1. S2. R2. If the measure of one of a is greater than the measure of a 2nd of the , then the side opposite the larger is longer than the side opposite the smaller . S3. R3. S1. R1. S2. -Supply missing statements and missing reasons for the following proof. Given: and Prove: S1. R1. S2. R2. If the measure of one of a is greater than the measure of a 2nd of the , then the side opposite the larger is longer than the side opposite the smaller . S3. R3. R2. If the measure of one -Supply missing statements and missing reasons for the following proof. Given: and Prove: S1. R1. S2. R2. If the measure of one of a is greater than the measure of a 2nd of the , then the side opposite the larger is longer than the side opposite the smaller . S3. R3. of a -Supply missing statements and missing reasons for the following proof. Given: and Prove: S1. R1. S2. R2. If the measure of one of a is greater than the measure of a 2nd of the , then the side opposite the larger is longer than the side opposite the smaller . S3. R3. is greater than the measure of a 2nd -Supply missing statements and missing reasons for the following proof. Given: and Prove: S1. R1. S2. R2. If the measure of one of a is greater than the measure of a 2nd of the , then the side opposite the larger is longer than the side opposite the smaller . S3. R3. of the -Supply missing statements and missing reasons for the following proof. Given: and Prove: S1. R1. S2. R2. If the measure of one of a is greater than the measure of a 2nd of the , then the side opposite the larger is longer than the side opposite the smaller . S3. R3. , then the side opposite the larger -Supply missing statements and missing reasons for the following proof. Given: and Prove: S1. R1. S2. R2. If the measure of one of a is greater than the measure of a 2nd of the , then the side opposite the larger is longer than the side opposite the smaller . S3. R3. is longer than the side opposite the smaller -Supply missing statements and missing reasons for the following proof. Given: and Prove: S1. R1. S2. R2. If the measure of one of a is greater than the measure of a 2nd of the , then the side opposite the larger is longer than the side opposite the smaller . S3. R3. . S3. R3.

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Question 10

-Provide the missing statements and missing reasons for the following proof. Given: and V is the midpoint of Prove: S1. R1. S2. R2. S3. R3. Given S4. R4. S5. R5. Identity S6. R6. S7. R7. -Provide the missing statements and missing reasons for the following proof. Given: -Provide the missing statements and missing reasons for the following proof. Given: and V is the midpoint of Prove: S1. R1. S2. R2. S3. R3. Given S4. R4. S5. R5. Identity S6. R6. S7. R7. and V is the midpoint of -Provide the missing statements and missing reasons for the following proof. Given: and V is the midpoint of Prove: S1. R1. S2. R2. S3. R3. Given S4. R4. S5. R5. Identity S6. R6. S7. R7. Prove: -Provide the missing statements and missing reasons for the following proof. Given: and V is the midpoint of Prove: S1. R1. S2. R2. S3. R3. Given S4. R4. S5. R5. Identity S6. R6. S7. R7. S1. -Provide the missing statements and missing reasons for the following proof. Given: and V is the midpoint of Prove: S1. R1. S2. R2. S3. R3. Given S4. R4. S5. R5. Identity S6. R6. S7. R7. R1. S2. -Provide the missing statements and missing reasons for the following proof. Given: and V is the midpoint of Prove: S1. R1. S2. R2. S3. R3. Given S4. R4. S5. R5. Identity S6. R6. S7. R7. R2. S3. R3. Given S4. -Provide the missing statements and missing reasons for the following proof. Given: and V is the midpoint of Prove: S1. R1. S2. R2. S3. R3. Given S4. R4. S5. R5. Identity S6. R6. S7. R7. R4. S5. R5. Identity S6. -Provide the missing statements and missing reasons for the following proof. Given: and V is the midpoint of Prove: S1. R1. S2. R2. S3. R3. Given S4. R4. S5. R5. Identity S6. R6. S7. R7. R6. S7. R7.

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Question 11

-Provide missing statements for the following proof. Given: and are right angles; Prove: S1. R1. Given S2. R2. All right angles are congruent. S3. R3. Identity S4. R4. SAS S5. R5. CPCTC -Provide missing statements for the following proof. Given: -Provide missing statements for the following proof. Given: and are right angles; Prove: S1. R1. Given S2. R2. All right angles are congruent. S3. R3. Identity S4. R4. SAS S5. R5. CPCTC and -Provide missing statements for the following proof. Given: and are right angles; Prove: S1. R1. Given S2. R2. All right angles are congruent. S3. R3. Identity S4. R4. SAS S5. R5. CPCTC are right angles; -Provide missing statements for the following proof. Given: and are right angles; Prove: S1. R1. Given S2. R2. All right angles are congruent. S3. R3. Identity S4. R4. SAS S5. R5. CPCTC Prove: -Provide missing statements for the following proof. Given: and are right angles; Prove: S1. R1. Given S2. R2. All right angles are congruent. S3. R3. Identity S4. R4. SAS S5. R5. CPCTC S1. R1. Given S2. R2. All right angles are congruent. S3. R3. Identity S4. R4. SAS S5. R5. CPCTC

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Question 12

-In the following problem, explain (prove) why the conclusion is valid.. Given: Quadrilateral with diagonal ; and are right angles Prove: -In the following problem, explain (prove) why the conclusion is valid.. Given: Quadrilateral -In the following problem, explain (prove) why the conclusion is valid.. Given: Quadrilateral with diagonal ; and are right angles Prove: with diagonal -In the following problem, explain (prove) why the conclusion is valid.. Given: Quadrilateral with diagonal ; and are right angles Prove: ; -In the following problem, explain (prove) why the conclusion is valid.. Given: Quadrilateral with diagonal ; and are right angles Prove: and -In the following problem, explain (prove) why the conclusion is valid.. Given: Quadrilateral with diagonal ; and are right angles Prove: are right angles Prove: -In the following problem, explain (prove) why the conclusion is valid.. Given: Quadrilateral with diagonal ; and are right angles Prove:

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Question 13

-Supply missing statements and missing reasons for the following proof. Given: ; Prove: S1. ; R1. S2. R2. Identity S3. R3. -Supply missing statements and missing reasons for the following proof. Given: -Supply missing statements and missing reasons for the following proof. Given: ; Prove: S1. ; R1. S2. R2. Identity S3. R3. ; -Supply missing statements and missing reasons for the following proof. Given: ; Prove: S1. ; R1. S2. R2. Identity S3. R3. Prove: -Supply missing statements and missing reasons for the following proof. Given: ; Prove: S1. ; R1. S2. R2. Identity S3. R3. S1. -Supply missing statements and missing reasons for the following proof. Given: ; Prove: S1. ; R1. S2. R2. Identity S3. R3. ; -Supply missing statements and missing reasons for the following proof. Given: ; Prove: S1. ; R1. S2. R2. Identity S3. R3. R1. S2. R2. Identity S3. R3.

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Question 14

-Provide missing statements and missing reasons for the following proof. Given: ; M is the midpoint of and N is the midpoint of Prove: S1. R1. S2. , , and R2. S3. R3. Given S4. R4. The midpoints of two congruent line segments divide the segments into 4 congruent segments. S5. R5. S6. R6. -Provide missing statements and missing reasons for the following proof. Given: -Provide missing statements and missing reasons for the following proof. Given: ; M is the midpoint of and N is the midpoint of Prove: S1. R1. S2. , , and R2. S3. R3. Given S4. R4. The midpoints of two congruent line segments divide the segments into 4 congruent segments. S5. R5. S6. R6. ; M is the midpoint of -Provide missing statements and missing reasons for the following proof. Given: ; M is the midpoint of and N is the midpoint of Prove: S1. R1. S2. , , and R2. S3. R3. Given S4. R4. The midpoints of two congruent line segments divide the segments into 4 congruent segments. S5. R5. S6. R6. and N is the midpoint of -Provide missing statements and missing reasons for the following proof. Given: ; M is the midpoint of and N is the midpoint of Prove: S1. R1. S2. , , and R2. S3. R3. Given S4. R4. The midpoints of two congruent line segments divide the segments into 4 congruent segments. S5. R5. S6. R6. Prove: -Provide missing statements and missing reasons for the following proof. Given: ; M is the midpoint of and N is the midpoint of Prove: S1. R1. S2. , , and R2. S3. R3. Given S4. R4. The midpoints of two congruent line segments divide the segments into 4 congruent segments. S5. R5. S6. R6. S1. -Provide missing statements and missing reasons for the following proof. Given: ; M is the midpoint of and N is the midpoint of Prove: S1. R1. S2. , , and R2. S3. R3. Given S4. R4. The midpoints of two congruent line segments divide the segments into 4 congruent segments. S5. R5. S6. R6. R1. S2. -Provide missing statements and missing reasons for the following proof. Given: ; M is the midpoint of and N is the midpoint of Prove: S1. R1. S2. , , and R2. S3. R3. Given S4. R4. The midpoints of two congruent line segments divide the segments into 4 congruent segments. S5. R5. S6. R6. , -Provide missing statements and missing reasons for the following proof. Given: ; M is the midpoint of and N is the midpoint of Prove: S1. R1. S2. , , and R2. S3. R3. Given S4. R4. The midpoints of two congruent line segments divide the segments into 4 congruent segments. S5. R5. S6. R6. , and -Provide missing statements and missing reasons for the following proof. Given: ; M is the midpoint of and N is the midpoint of Prove: S1. R1. S2. , , and R2. S3. R3. Given S4. R4. The midpoints of two congruent line segments divide the segments into 4 congruent segments. S5. R5. S6. R6. R2. S3. R3. Given S4. -Provide missing statements and missing reasons for the following proof. Given: ; M is the midpoint of and N is the midpoint of Prove: S1. R1. S2. , , and R2. S3. R3. Given S4. R4. The midpoints of two congruent line segments divide the segments into 4 congruent segments. S5. R5. S6. R6. R4. The midpoints of two congruent line segments divide the segments into 4 congruent segments. S5. -Provide missing statements and missing reasons for the following proof. Given: ; M is the midpoint of and N is the midpoint of Prove: S1. R1. S2. , , and R2. S3. R3. Given S4. R4. The midpoints of two congruent line segments divide the segments into 4 congruent segments. S5. R5. S6. R6. R5. S6. R6.

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Question 15

-Supply missing statements and missing reasons for the following proof. Given: ; and Prove: is an isosceles triangle S1. ; R1. S2. R2. S3. R3. If 2 angles of a triangle are congruent, the sides opposite these angles are congruent. S4. R4. S5. R5. CPCTC S6. is an isosceles triangle R6. -Supply missing statements and missing reasons for the following proof. Given: -Supply missing statements and missing reasons for the following proof. Given: ; and Prove: is an isosceles triangle S1. ; R1. S2. R2. S3. R3. If 2 angles of a triangle are congruent, the sides opposite these angles are congruent. S4. R4. S5. R5. CPCTC S6. is an isosceles triangle R6. ; -Supply missing statements and missing reasons for the following proof. Given: ; and Prove: is an isosceles triangle S1. ; R1. S2. R2. S3. R3. If 2 angles of a triangle are congruent, the sides opposite these angles are congruent. S4. R4. S5. R5. CPCTC S6. is an isosceles triangle R6. and -Supply missing statements and missing reasons for the following proof. Given: ; and Prove: is an isosceles triangle S1. ; R1. S2. R2. S3. R3. If 2 angles of a triangle are congruent, the sides opposite these angles are congruent. S4. R4. S5. R5. CPCTC S6. is an isosceles triangle R6. Prove: -Supply missing statements and missing reasons for the following proof. Given: ; and Prove: is an isosceles triangle S1. ; R1. S2. R2. S3. R3. If 2 angles of a triangle are congruent, the sides opposite these angles are congruent. S4. R4. S5. R5. CPCTC S6. is an isosceles triangle R6. is an isosceles triangle S1. -Supply missing statements and missing reasons for the following proof. Given: ; and Prove: is an isosceles triangle S1. ; R1. S2. R2. S3. R3. If 2 angles of a triangle are congruent, the sides opposite these angles are congruent. S4. R4. S5. R5. CPCTC S6. is an isosceles triangle R6. ; -Supply missing statements and missing reasons for the following proof. Given: ; and Prove: is an isosceles triangle S1. ; R1. S2. R2. S3. R3. If 2 angles of a triangle are congruent, the sides opposite these angles are congruent. S4. R4. S5. R5. CPCTC S6. is an isosceles triangle R6. R1. S2. -Supply missing statements and missing reasons for the following proof. Given: ; and Prove: is an isosceles triangle S1. ; R1. S2. R2. S3. R3. If 2 angles of a triangle are congruent, the sides opposite these angles are congruent. S4. R4. S5. R5. CPCTC S6. is an isosceles triangle R6. R2. S3. R3. If 2 angles of a triangle are congruent, the sides opposite these angles are congruent. S4. -Supply missing statements and missing reasons for the following proof. Given: ; and Prove: is an isosceles triangle S1. ; R1. S2. R2. S3. R3. If 2 angles of a triangle are congruent, the sides opposite these angles are congruent. S4. R4. S5. R5. CPCTC S6. is an isosceles triangle R6. R4. S5. R5. CPCTC S6. -Supply missing statements and missing reasons for the following proof. Given: ; and Prove: is an isosceles triangle S1. ; R1. S2. R2. S3. R3. If 2 angles of a triangle are congruent, the sides opposite these angles are congruent. S4. R4. S5. R5. CPCTC S6. is an isosceles triangle R6. is an isosceles triangle R6.

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Question 16
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