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Unit 1 - Lesson 13 - Grade 8: Illustrative Mathematics

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9 Questions
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Grade 8 Unit 1
Lesson 13: Congruence
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 1
Lesson 13: Congruence
CC BY 2021 Illustrative Mathematics®
Lesson: Congruence

Not Just the Vertices (Warm Up)

Trapezoids ABCD and A'B'C'D' are congruent.
1.

Draw and label the points on A'B'C'D' that correspond to E and F.

2.

Draw and label the points on ABCD that correspond to G' and H'.

3.

Draw and label at least three more pairs of corresponding points.

Congruent Ovals

4.

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

Corresponding Points in Congruent Figures

Here are two congruent shapes with some corresponding points labeled.
5.

Draw the points corresponding to B, D, and E, and label them B', D', and E'.

6.

Draw line segments AD and A'D' and measure them. Do the same for segments BC and B'C' and for segments AE and A'E'. What do you notice?

7.

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

Astonished Faces (Optional)

8.

Are these faces congruent? Explain your reasoning.

Cool Down: Explaining Congruence

Explaining Congruence

9.

Are Figures A and B congruent? Explain your reasoning.