Using Triangle Congruence Theorems Quiz

Triangles ABC and DEF have the following characteristics: ∠B and ∠E are right angles ∠A ≅ ∠D BC ≅ EF

AAS

Which congruence theorem can be used to prove △WXZ ≅ △YZX?

AAS

Which congruence theorem can be used to prove △ABR ≅ △RCA?

HL

Triangles ABC and DBC have the following characteristics: BC is a side of both triangles ∠ACB and ∠DCB are right angles AC ≅ DC Which congruence theorem can be used to prove △ABC ≅ △DBC?

SAS

Consider the diagram. The congruence theorem that can be used to prove △LON ≅ △LMN is

SSS

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

SSS

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

SSS

Given: ∠XWU ≅ ∠ZVT; ∠ZTV ≅ ∠XUW; TU ≅ VW Which relationship in the diagram is true?

△ZVT ≅ △XWU by ASA

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?

AAS

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 ≅ ∠E BC ≅ EC Which congruence theorem can be used to prove △ABC ≅ △DEC?

ASA