Question

GIVEN: ∠D congruent to ∠T, ∠E congruent to ∠U, DE congruent to UT

Name the postulate or theorem you can use to prove the triangles congruent.

SAS Postulate

SSS Postulate

ASA Postulate

AAS Theorem

Answer 1

GIVEN:
∠D congruent to ∠T
∠E congruent to ∠U
DE congruent to UT

answer
ASA Postulate

Answer 2

Answer: ASA Postulate

Explanation:

GIVEN: ∠D congruent to ∠T,

∠E congruent to ∠U,

DE congruent to UT

Now, in ΔUXT and ΔDOE

∠D congruent to ∠T [Angle]

DE congruent to UT [included side]

∠E congruent to ∠U [Angle]

By ASA postulate of congruence , ΔUXT ≅ ΔDOE

• ASA Postulate of congruence says that if two angles and the included side of a triangle are congruent to two angles and the included side of other triangle then the triangles are said to be congruent.