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Unit 2 - Lesson 12 - Grade 8: Illustrative Mathematics

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10 Questions
Note from the author:
Grade 8 Unit 2
Lesson 12: Using Equations for Lines
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 2
Lesson 12: Using Equations for Lines
CC BY 2021 Illustrative Mathematics®
Lesson: Using Equations for Lines

Missing center (Warm Up)

1.

A dilation with scale factor 2 sends A to B. Where is the center of the dilation?

Writing Relationships from Two Points

Here is a line.
2.

Using what you know about similar
triangles, find an equation for the line in the diagram.

3.

What is the slope of this line? Does it appear in your equation?

4.

Is (9, 11) also on the line? How do you
know?

5.

Is (100, 193) also on the line?

Dilations and Slope Triangles

Here is triangle ABC.
6.

Draw the dilation of triangle ABC with center (0, 1) and scale factor 2.

7.

Draw the dilation of triangle ABC with center (0, 1) and scale factor 2.5.

8.

Where is C mapped by the dilation with center (0, 10) and scale factor s ?

9.

For which scale factor does the dilation with center (0, 1) send C to (9, 5, 5)? Explain how you know.

Cool Down: Is the Point on the Line?

Is the Point on the Line?

10.

Is the point (20,13) on this line? Explain your reasoning.