Question

for each of the following pairs of shapes, decide whether or not they are congruent. defend your thinking. if you claim they are congruent, then describe the transformation that will move one figure to the other. if not, explain why not. yes no explain your thinking.

Explanation:

Step1: Recall congruence definition

Two shapes are congruent if they have the same size and shape. This means corresponding sides and angles are equal.

Step2: Analyze the given figures

Visually inspect the two - triangle figures. We can see that we can perform a rotation and a translation to map one triangle onto the other. The lengths of the corresponding sides and the measures of corresponding angles are equal. A rotation about a point followed by a translation will move one figure onto the other.

Answer:

Yes. The two triangles are congruent. A rotation followed by a translation will move one figure to the other.