AnswersQ5 Geometry New 2022Triangle Congruence: ASA Postulate and AAS Theorem

Interactive: Proving Congruency Using CPCTC Answers

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Analyze the diagram below and complete the instructions that follow. Name the corresponding congruent sides of the two congruent triangles shown above.

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A
, ,
B
, ,
C
, ,
D
, ,
2
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Analyze the diagram below and complete the instructions that follow. Using CPCTC, name the congruent parts of and that are not labeled as congruent in the diagram.

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A
, ,
B
, ,
C
, ,
D
, ,
3

Analyze the diagram below and answer the question that follows. Which of the following is common to both and ? A. B. C. D. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
4

Analyze the diagram below and complete the instructions that follow. Given that and show that . A. There is not enough information to show that , because we do not know whether and are congruent. B. Since by the reflexive property of congruence, by AAS. Therefore, by CPCTC. Since because they are vertical angles, by AAS. C. Since by the reflexive property of congruence, by AAS. Therefore, by CPCTC. Since because they are vertical angles, by AAS. D. Since by the symmetric property of congruence, by SAS. Therefore, by CPCTC. Since because they are vertical angles, by AAS. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
5

Analyze the diagram below and complete the instructions that follow. Identify the steps for proving .

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A
1. by the reflexive property 2. by SAS 3. by CPCTC
B
1. by definition of an isosceles triangle 2. by SAS 3. by CPCTC
C
1. by the reflexive property 2. by CPCTC 3. by SAS
D
1. by definition of an isosceles triangle 2. by CPCTC 3. by SAS
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Analyze the diagram below and complete the instructions that follow. Given the diagram above and the fact that , show that .

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A
by the reflexive property of congruence, so by SAS. Therefore, by CPCTC.
B
by the reflexive property of congruence, so by SAS. Therefore, by CPCTC.
C
by the transitive property of congruence, so by SAS. Therefore, by CPCTC.
D
by the reflexive property of congruence, so by ASA. Therefore, by SAS.
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Analyze the diagram below and answer the question that follows. Can you conclude that ?

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A
Yes: by SAS; by CPCTC.
B
No, is not congruent to .
C
Yes: by SSS; by CPCTC.
D
Yes: by AAS; by CPCTC.
8

If , name three pairs of corresponding congruent angles.

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A
, ,
B
, ,
C
, ,
D
, ,
9

Analyze the diagram below and answer the question that follows. Which side or angle is common to both and ? A. B. C. D. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
10

Analyze the diagram below and complete the instructions that follow. Given that , find .

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A
29°
B
58°
C
80°
D
122°

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