Using Triangle Congruence Theorems Answers

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

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?

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

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

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

Given: bisects ∠BAC; AB = AC

Two sides and the included angle 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?

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

Consider the diagram.

Consider the diagram.

Consider the diagram.

Complete the paragraph proof.Given: and are right anglesProve: bisects

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

Given: ∠GHD and ∠EDH are right; GH ≅ ED

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

Triangles ABC and DBC have the following characteristics: BC is a side of both triangles∠ACB and ∠DCB are right anglesAC ≅ DC