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a. name two congruent triangles in the accompanying figure by writing a…

Question

a. name two congruent triangles in the accompanying figure by writing a symbolic congruence. a. determine the congruent triangles. △qrt≅△□

Explanation:

Step1: Identify right - angled triangles

In the figure, $\triangle QRT$ and $\triangle RTS$ are right - angled triangles.

Step2: Check for congruence criteria

We can see that $\overline{QT}\cong\overline{RS}$ (marked with one dash) and $\overline{RT}$ is common to both triangles. By the Hypotenuse - Leg (HL) congruence criterion for right - angled triangles (if the hypotenuse and one leg of a right - angled triangle are congruent to the hypotenuse and one leg of another right - angled triangle, the two triangles are congruent), $\triangle QRT\cong\triangle RTS$.

Answer:

$\triangle QRT\cong\triangle RTS$