Using Triangle Congruence Theorems Answers

Given: bisects ∠BAC; AB = AC

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

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

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?

Consider the diagram.

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

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?

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

Consider the diagram.

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