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Unit 1 - Lesson 12 - Grade 8: Illustrative Mathematics

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14 Questions
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Grade 8 Unit 1
Lesson 12: Congruent Polygons
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 1
Lesson 12: Congruent Polygons
CC BY 2021 Illustrative Mathematics®
Lesson: Congruent Polygons

Translated Images (Warm Up)

1.

All of these triangles are congruent. Sometimes we can take one figure
to another with a translation. Shade the
triangles that are images of triangle ABC under a translation.

Congruent Pairs (Part 1)

2.

For the following pairs of shapes, decide whether or not they are congruent. Explain your reasoning.

3.

For each of the following pairs of shapes, decide whether or not they are congruent. Explain your reasoning.

4.

For each of the following pairs of shapes, decide whether or not they are congruent. Explain your reasoning.

5.

For each of the following pairs of shapes, decide whether or not they are congruent. Explain your reasoning.

Congruent Pairs (Part 2)

6.

Is Shape A congruent to Shape B? Explain how you know.

7.

Is Shape A congruent to Shape B? Explain how you know.

8.

Is Shape A congruent to Shape B? Explain how you know.

9.

Is Shape A congruent to Shape B? Explain how you know.

10.

Is Shape A congruent to Shape B? Explain how you know.

Building Quadrilaterals (Optional)

Your teacher will give you a set of four objects.
11.

Make a quadrilateral with your four objects and record what you have made.

12.

Compare your quadrilateral with your partner’s. Are they congruent? Explain how you know.

13.

Repeat steps 1 and 2, forming different quadrilaterals. If your first quadrilaterals were not congruent, can you build a pair that is? If your first quadrilaterals were congruent, can you
build a pair that is not? Explain.


Cool Down: Moving to Congruence

Moving to Congruence

14.

Describe a sequence of reflections, rotations, and translations that shows that quadrilateral ABCD is congruent to quadrilateral EFGH.