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

Triangle Congruence: ASA Postulate and AAS Theorem Answers

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1
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Analyze the diagram below and answer the question that follows. Is ? If so, find MN.

Question illustration
A
Yes, by AAS; MN = 6.
B
Yes, by AAS; MN = 11.
C
Yes, by AA; MN = 11.
D
No, the triangles are not congruent.
2
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Analyze the diagram below and answer the question that follows. What additional information would you need to prove by AAS? A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
3

Prove . Statements Reasons 1) 1) 2) 2) 3) 3) 4) 4)

Question illustration
A
1) Given 2) Vertical angles are congruent 3) All right angles are congruent 4) SSA
B
1) Given 2) All right angles are congruent 3) Vertical angles are congruent 4) SAS
C
1) Given 2) All right angles are congruent 3) Vertical angles are congruent 4) AAS
D
There is not enough information to prove the triangles congruent.
4

Analyze the diagram below and complete the instructions that follow. Find the length of and the measure of .

Question illustration
A
WY = 54, = 110°
B
WY = 77, = 54°
C
WY = 77, = 110°
D
WY = 110, = 77°
5

If , what can you conclude about , , , and ?

Question illustration
A
,
B
,
C
,
D
,
6

Analyze the diagram below and complete the instructions that follow. Find the length of and the measure of .

Question illustration
A
UT = 104, = 112°
B
UT = 104, = 126°
C
UT = 112, = 126°
D
UT = 126, = 104°
7

Analyze the diagram below and answer the question that follows. Which triangle is congruent to by the AAS theorem? A. B. C. D. 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 answer the question that follows. What additional information would you need to prove the triangles congruent by ASA? A. B. C. is a right angle D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
9

Analyze the diagram below and complete the instructions that follow. Find the length of and the measure of .

Question illustration
A
JK = 26, = 33°
B
JK = 26, = 54°
C
JK = 33, = 26°
D
JK = 54, = 33°
10

Analyze the diagram below and answer the question that follows. What postulate or theorem can be used to justify that ?

Question illustration
A
SAS
B
ASA
C
SSA
D
AAS

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