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Unit 1 - Lesson 8 - Grade 8: Illustrative Mathematics

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Last updated 2 months ago
13 Questions
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Grade 8 Unit 1
Lesson 8: Rotation Patterns
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 1
Lesson 8: Rotation Patterns
CC BY 2021 Illustrative Mathematics®
Lesson: Rotation Patterns

Building a Quadrilateral (Warm Up)

Here is a right isosceles triangle:
1.

Rotate triangle ABC 90 degrees clockwise around B.

2.

Rotate triangle ABC 180 degrees clockwise around B.

3.

Rotate triangle ABC 270 degrees clockwise around B.

4.

What would it look like when you rotate the four triangles 90 degrees clockwise around B? 180 degrees? 270 degrees clockwise?

Rotating a Segment

5.

Rotate segment CD 180 degrees around point D. Draw its image and label the image of C as A.

6.

Rotate segment CD 180 degrees around point E. Draw its image and label the image of C as B and the image of D as F.

7.

Rotate segment CD 180 degrees around its midpoint, G. What is the image of C?

8.

What happens when you rotate a segment 180 degrees around a point?

A Pattern of Four Triangles

You can use rigid transformations of a figure to make patterns. Here is a diagram built with three different
transformations of triangle ABC.
9.

Describe a rigid transformation that takes triangle ABC to triangle CDE.

10.

Describe a rigid transformation that takes triangle ABC to triangle EFG.

11.

Describe a rigid transformation that takes triangle ABC to triangle GHA.

12.

Do segments AC, CE, EG, and GA all have the same length? Explain your reasoning.

Cool Down: Is it a rotation?

Is it a rotation?

Here are two triangles.
13.

Is Triangle B a rotation of Triangle A? Explain your reasoning.