Using Triangle Congruence Theorems

Question 1

Consider the diagram.

Revolt · Accepted Answer

HL

Question 2

Line segments AD and BE intersect at C, and triangles ABC and DEC are formed. They have the following characteristics: ∠ACB and ∠DCE are vertical angles∠B ≅ ∠EBC ≅ EC

Revolt · Accepted Answer

ASA

Question 3

Given: ∠XWU ≅ ∠ZVT; ∠ZTV ≅ ∠XUW; TU ≅ VW

Revolt · Accepted Answer

△ZVT ≅ △XWU by ASA

Question 4

Consider the diagram.

Revolt · Accepted Answer

SAS.

Question 5

Which congruence theorem can be used to prove △BDA ≅ △BDC?

Revolt · Accepted Answer

SSS

Question 6

Which relationships in the diagram are true? Select three options.

Revolt · Accepted Answer

ΔCBF ≅ ΔCDF by SSS; ΔBFA ≅ ΔDFE by SAS; ΔCBE ≅ ΔCDA by HL

Question 7

Consider the diagram.

Revolt · Accepted Answer

SSS.

Question 8

Given: MQ = NQ; Q is the midpoint of LP; LM ≅ PN

Revolt · Accepted Answer

SSS

Question 9

Given: bisects ∠BAC; AB = AC

Revolt · Accepted Answer

SAS

Question 10

Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent?

Revolt · Accepted Answer

AAS

Using Triangle Congruence Theorems Answers

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