AnswersQ5 Geometry New 2022Congruent Figures

Using Congruent Triangles: CPCTC Answers

10 verified answers1 views
1
Free Preview

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

Question illustration
A
by the symmetric property of congruence, so by AAS. Therefore, by CPCTC.
B
by the reflexive property of congruence, so by SAS. Therefore, by CPCTC.
C
by the reflexive property of congruence, so by AAS. Therefore, by CPCTC.
D
by the reflexive property of congruence, so by ASA. Therefore, by CPCTC.
2
Free Preview

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

Question illustration
A
A
B
B
C
C
D
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

Question illustration
A
A
B
B
C
C
D
D
4

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

Question illustration
A
, ,
B
, ,
C
, ,
D
, ,
5

Analyze the diagram below and complete the instructions that follow. Given the diagram above and the fact that , show that .

Question illustration
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.
6

Analyze the diagram below and answer the question that follows. Can you conclude that ?

Question illustration
A
Yes: by SAS; by CPCTC.
B
No, is not congruent to .
C
Yes: by SSS; by CPCTC.
D
Yes: by AAS; by CPCTC.
7

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

Question illustration
A
A
B
B
C
C
D
D
8

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

Question illustration
A
and because they are pairs of corresponding angles formed by parallel lines cut by a transversal. Since , by AAS. Therefore, by CPCTC.
B
and because they are pairs of alternate interior angles formed by parallel lines cut by a transversal. Since , by SSS. Therefore, by CPCTC.
C
and because they are pairs of corresponding angles formed by parallel lines cut by a transversal. Since , by AAS. Therefore, by CPCTC.
D
and because they are pairs of corresponding angles formed by parallel lines cut by a transversal. Since , by AAS. Therefore, by SAS.
10

Analyze the diagram below and complete the instructions that follow. is isosceles with base . Given that and , show that .

Question illustration
A
by the definition of isosceles triangles, so by ASA. Therefore, by CPCTC.
B
by the definition of isosceles triangles, so by SAS. Therefore, by CPCTC.
C
by the reflexive property of congruence, so by SAS. Therefore, by CPCTC.
D
by the definition of isosceles triangles, so by SAS. Therefore, by CPCTC.
11

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

Question illustration
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
12

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

Question illustration
A
A
B
B
C
C
D
D
13

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.

Question illustration
A
, ,
B
, ,
C
, ,
D
, ,
14

Analyze the diagram below and complete the instructions that follow. Given that is the perpendicular bisector of , which of the following statements is true?

Question illustration
A
by CPCTC
B
by CPCTC
C
by CPCTC
D
by CPCTC
15

If , list two pairs of congruent sides and two pairs of congruent angles. A. C. B. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
16

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

Question illustration
A
A
B
B
C
C
D
D
17

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

Question illustration
A
29°
B
58°
C
80°
D
122°

Did you find these answers helpful?

More from this Course

Quiz
11 verified answers

Congruent Figures

Quiz
10 verified answers

Triangle Congruence: SAS Postulate and SSS Postulate

Quiz
10 verified answers

Congruence in Right Triangles