Congruence in Right Triangles

Question 1

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

Revolt · Accepted Answer

1) Given 2) All right angles are congruent 3) Vertical angles are congruent 4) AAS

Question 2

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

Revolt · Accepted Answer

A

Question 3

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

Revolt · Accepted Answer

UT = 104, = 126°

Question 4

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

Revolt · Accepted Answer

JK = 33, = 26°

Question 5

If bisects , prove . Statements Reasons 1) 1) 2) 2) 3) 3) 4) 4)

Revolt · Accepted Answer

1) Given 2) Reflexive property of 3) Definition of an angle bisector 4) ASA

Question 6

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

Revolt · Accepted Answer

C

Question 7

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

Revolt · Accepted Answer

Yes, by AAS; MN = 11.

Question 8

Given that and that L is the midpoint of , prove . Statements Reasons 1) 1) 2) 2) 3) 3) 4) 4)

Revolt · Accepted Answer

There is not enough information to prove the triangles congruent.

Question 9

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

Revolt · Accepted Answer

AAS

Question 10

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

Revolt · Accepted Answer

,

Congruence in Right Triangles Answers

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