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6-8 Accelerated 7 Unit 1 Lesson 8

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K-5 Math •6-8 Math 9-12 Math

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Accelerated 6 •Accelerated 7

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•Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 •Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18

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9-12

Accelerated 6
Accelerated 7

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Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

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Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
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Lesson 12
Lesson 13
Lesson 14
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Lesson 17
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Curriculum

IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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IM® 6-8 Math v.360, an IM v.360 curriculum, is ©2024 by Illustrative Mathematics®, and licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).

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Unit 1, Lesson 8

Moves in Parallel

Accelerated 7

Practice

Problem 1

Draw parallel lines and .
Pick any point . Rotate clockwise around .
Rotate line clockwise around .
What do you notice?

Problem 2

Use the diagram to find the measures of each angle. Explain your reasoning.

angle
angle
angle

<p>Lines A D and E C intersect at point B. Angle C B D is 50 degrees.</p><br>

Problem 3

Points and are plotted on a line.

A line that slants upward and to the right with two plots labeled P and Q pointed on it. Point P is below point Q.

Find a point so that a rotation with center sends to and to .
Is there more than one point that works for part a?

Problem 4

ForLesson 6: No Bending or Stretching

In the picture triangle is an image of triangle after a rotation. The center of rotation is .

<p>A triangle A B C and its image, triangle A prime B prime C prime and a point D. Side B C is 4, angle C prime is 50 degrees and angle B prime is 52 degrees. </p><br>

What is the length of side ? Explain how you know.
What is the measure of angle ? Explain how you know.
What is the measure of angle ? Explain how you know.

Problem 5

ForLesson 5: Describing Transformations

The point is rotated counterclockwise using center . What are the coordinates of the image?