Question

Given: ∠SUT = ∠TVS, name the postulate or theorem you can use to prove ∠SUT ≅ ∠TVS.

a) ASA Postulate
b) AAS Theorem
c) SAS Postulate
d) SSS Postulate

Answer 1

Given that ∠SUT = ∠TVS, no postulate or theorem is required to prove the congruence of angles where equality is already stated. The ASA Postulate can be used to prove that ∠SUT ≅ ∠TVS.

Step-by-step explanation:

To prove that ∠SUT ≅ ∠TVS, you can use the ASA Postulate (Option A). ASA stands for Angle-Side-Angle, and it states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

In this case, the given information is that ∠SUT = ∠TVS. The ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. Therefore, we can conclude that ∠SUT and ∠TVS are congruent. Therefore, the correct option to prove ∠SUT ≅ ∠TVS is the ASA Postulate (Option A).