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**Dilations in the Coordinate Plane**

Geometry Unit 8, Day 7 Ms. Reed

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**Dilations What is a dilation?**

A transformation that changes the size of a figure. What are two types of dilations? Enlargement Reduction The point of projection is called the center of dilation The amount of change is written as a ratio and is called a scale factor.

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Dilations In the coordinate plane, the center of dilation is the origin. To find the new coordinates, multiply the original coordinates by the scale factor.

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**Steps to Follow Plot the given points.**

Multiply each coordinate by the scale factor. Plot the image points. State the coordinates of the dilation.

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**Given the vertices of the triangle, find a dilation by a scale factor of 3.**

x B’ C’ A (1,2) B (3,3) C (1,3) A’ (3,6) A’ B’ (9,9) C B C’ (3,9) A

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**Given the vertices of the rectangle, find a dilation by a scale factor of 2/3.**

x A (-6,-3) B (-6,3) C (6,3) D (6,-3) A’ (-4,-2) B’ (-4,2) C’ (4,2) B C D’ (4,-2) B’ C’ A’ D’ A D

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**Practice with Dilations**

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**Work Packet: Dilations**

Homework Work Packet: Dilations

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