AnswersQ5 Geometry New 2022Using Congruent Triangles: CPCTC

Using Congruent Triangles: CPCTC — Unit test Answers

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3

Analyze the diagram below and answer the question that follows. bisects . Which statement is true? 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
7

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

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A
19°
B
100°
C
142°
D
161°
8

In , and . In , and . Write a statement of congruence. A. The triangles are not necessarily congruent. B. C. D. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
9

Analyze the diagram below and answer the question that follows. Is ? If so, find MN.

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A
Yes, by AAS; MN = 11.
B
Yes, by AAS; MN = 18
C
Yes, by ASA; MN = 18.
D
No, the triangles are not congruent.
12

Analyze the diagram below and complete the instructions that follow. Given the diagram above, if and point N is the midpoint of , prove . Statements Reasons 1) , and are right angles, N is the midpoint of 1) 2) 2) 3) and are right triangles 3) 4) 4)

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A
1) Given 2) Definition of midpoint 3) All right angles are congruent 4) HL theorem
B
1) Given 2) Definition of a rectangle 3) Definition of a right triangle 4) HL theorem
C
1) Given 2) Definition of midpoint 3) Definition of a right triangle 4) HL theorem
D
There is not enough information to prove the triangles congruent.
13

Complete the proof. Given: is the midpoint of Prove: Statements Reasons 1. 1. Given 2. 2. Given 3. 3. 4. 4. Definition of midpoint 5. 5. SAS

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A
; corresponding angles are congruent given two parallel lines
B
; alternate interior angle theorem
C
; corresponding sides are congruent
D
; corresponding angles are congruent given two parallel lines Determine which statement and reason are missing from line 3 of the proof.
15

Analyze the diagram below and answer the question that follows. For what values of x and y are the triangles congruent? 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

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