Question

PLEASE HELP! What is the congruence correspondence, if any, that will prove the given triangles congruent?

A. SAS
B. AAS
C. ASA
D. HL

Answer 1

Answer is C hope this helps

Answer 2

The correct option is C.

Explanation:

Given information: m∠TPB = ∠YSB, PB=SP

In two lines intersect each other then vertical opposite angles are congruent.

In triangle TPB and triangle YSB,

`\angle TPB\cong\angle YSB` (Given)

`PB=SP` (Given)

`\angle TBP\cong\angle YBS` (Vertical opposite angle)

Two angles and their included line are congruent.

By ASA postulate,

`\triangle TPB\cong\triangle YSB`

Therefore the correct option is C.