Question

a. name two congruent triangles in the accompanying figure by writing a symbolic congruence. b. tell why the named triangles are congruent. determine the corresponding congruent sides. $overline{qr}congoverline{st}$ $overline{qt}congoverline{sr}$ $overline{rt}congoverline{tr}$ determine the corresponding congruent angles. $angle qcongangle s$ $angle qrtcongangle str$ $angle rtqcongangle trs$ b. the triangles are congruent by congruence.

Explanation:

Step1: Identify congruent triangles

In the figure, $\triangle QRT\cong\triangle STR$.

Step2: Determine congruence - criterion

We have $\overline{QR}\cong\overline{ST}$, $\overline{QT}\cong\overline{SR}$, and $\overline{RT}\cong\overline{TR}$. Since all three pairs of corresponding sides are congruent, we use the SSS (Side - Side - Side) congruence criterion.

Answer:

a. $\triangle QRT\cong\triangle STR$
b. SSS (Side - Side - Side) congruence criterion.