IM 8.1.13 Lesson: Congruence

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.

Are any of the ovals congruent to one another? Explain how you know.

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?

Here are two congruent shapes with some corresponding points labeled.

Draw the points corresponding to , , and , and label them , , and . Draw line segments and and measure them. Do the same for segments and and for segments and . What do you notice?

Do you think there could be a pair of corresponding segments with different lengths? Explain.

Are these faces congruent? Explain your reasoning.