Question

for each pair of shapes, decide whether or not shape a is congruent to shape b. explain how you know by describing a series of transformations that will show congruence. yes no explain your thinking.

Explanation:

Step1: Observe the shapes

The two trapezoids have the same shape and size.

Step2: Identify the transformation

A translation (slide) can be used to move Shape A to coincide with Shape B. Move Shape A down a certain number of units and to the right a certain number of units. Since a translation is a rigid - motion transformation that preserves shape and size, the two shapes are congruent.

Answer:

Yes. A translation can be used to show congruence. We know this because translations are rigid - motion transformations that preserve the size and shape of a figure, and by observing the two trapezoids, they have the same side - lengths and angle measures.