Question

Write out, in paragraph form, a plan for completing the following proof.

For example, will you prove triangles congruent? How? By what theorem?

Given:

AR = AQ

RT = QS

Prove:

∠ RAT = ∠ QAS

Can someone help me understand how to answer this

Answer 1

Because AR = AQ, you have an isosceles triangle with triangle RAQ. This also means ∠ARQ = ∠AQR.

You're also told that RT = QS, so this gives you SAS to show triangle ART = triangle AQS.

side: AR = AQ

angle: ∠ART = ∠AQS

side: TR = QS

Knowing that the two triangles are congruent gives you that the two top angles are also congruent.