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?

(2). Explain your reasoning.

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

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

You can use 12 toothpicks to create a polygon with an area of five square toothpicks, like this: Can you use exactly 12 toothpicks to create a polygon with an area of four square toothpicks?