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.

Step2: Analyze the octagons

The two octagons in the picture have the same number of sides, and corresponding - side lengths and angles appear to be equal.

Step3: Identify the transformation

A translation (sliding) can move one octagon to the position of the other.

Answer:

Yes. The two octagons are congruent. A translation can move one figure to the other.