Question

are these shapes congruent? work it out not feeling ready yet? these can help: name, measure, and classify angles lines, line segments, and rays

Explanation:

Step1: Recall congruent - shape definition

Two shapes are congruent if they have the same size and shape, i.e., all corresponding sides and angles are equal.

Step2: Check corresponding sides

In $\triangle HGI$ and $\triangle TSU$, $HG = TS=9$ cm, $GI = SU = 12$ cm, $HI=TU = 15$ cm.

Step3: Check corresponding angles

$\angle G=\angle S = 90^{\circ}$, $\angle H=\angle T=53^{\circ}$, $\angle I=\angle U = 37^{\circ}$.

Answer:

yes