Question

question 23 of 25 (1 point) | question attempt 1 of unlimited
given: ∠pqr ≅ ∠str
qr ≅ tr
prove: pr ≅ sr
step statement reason
1 ∠pqr ≅ ∠str given
2 △pqr ≅ △str reason?

Explanation:

Step1: Identify vertical angles

$\angle QRP\cong\angle TRS$ (Vertical angles are congruent).

Step2: Check congruent conditions

We are given $\angle PQR\cong\angle STR$ and $\overline{QR}\cong\overline{TR}$. Along with the vertical angles $\angle QRP\cong\angle TRS$, we have two angles and the included side congruent. So, by the ASA (Angle - Side - Angle) congruence criterion, $\triangle PQR\cong\triangle STR$.

Answer:

ASA (Angle - Side - Angle)