Congruence

Are these faces congruent? Explain your reasoning.

(A). Trapezoids ABCD and A’B’C’D’ are congruent. Draw and label the points on A’B’C’D’ that correspond to E and F. Draw and label the points on ABCD that correspond to G’ and H’. Draw and label at least three more pairs of corresponding points.

(B). Here are two congruent shapes with some corresponding points labeled.

Which of these four figures in the applet below are congruent to the top figure?

These two figures are congruent, with corresponding points marked. Study them and answer the questions that follow.

(1). Are angles  and   congruent?

(2). Explain your reasoning.

(3). Measure angles and to check your answer.

Here are two figures. Show, using measurements, that these two figures are not congruent.