# Congruence

Are these faces congruent? Explain your reasoning.

———————————————————————————————————————————————————

Apply transformations to a line segment.

(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.

———————————————————————————————————————————————————

To Prove that two Shapes are not Congruent.

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

———————————————————————————————————————————————————

To Describe a Transformation..

(A). The picture below shows two polygons, one labeled Polygon A and one labeled Polygon B. Describe how to move Polygon A into the position of Polygon B using a transformation.

(B). The picture below shows two polygons, one labeled Polygon A and one labeled Polygon B. Describe how to move Polygon A into the position of Polygon B using a transformation.

(C). The picture below shows two polygons, one labeled Polygon A and one labeled Polygon B. Describe how to move Polygon A into the position of Polygon B using a transformation.

———————————————————————————————————————————————————

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?