[PDF] 9-6 Study Guide and Intervention - Dilations

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NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 9 37 Glencoe Geometry

9-6 Study Guide and Intervention

Dilations

Draw Dilations A dilation is a similarity transformation that enlarges or reduces a figure proportionally.

Dilations are completed with respect to a center point and a scale factor. Example: Draw the dilation image of ᇞABC with center O and r = 2.

Exercises

Use a ruler to draw the image of the figure under a dilation with center S and the scale factor r indicated.

1. r = 2 2. r = ଵ

6

3. r = 1 4. r = 3

7 6. r = 1

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 9 38 Glencoe Geometry

9-6 Study Guide and Intervention (continued)

Dilations

Dilations In The Coordinate Plane To find the coordinates of an image after a dilation centered at the origin,

multiply the x- and y-coordinates of each point on the preimage by the scale factor of the dilation, r.

(x, yĺrx, ry)

Example: ᇞABC has vertices A(2, 2), B(1, 1), and C(2, 0). Find the image of ᇞABC after a dilation centered at

the origin with a scale factor of 2. Multiply the x- and y-coordinates of each vertex by the scale factor, 2. (x, y) (2x, 2y)

Exercises

Graph the image of each polygon with the given vertices after a dilation centered at the origin with the given scale factor.

1. E(2, 2), F(2, 4), G(2, 4), H(2, 2); 3. A(2, 2), B(1, 2), C(2, 1); r = 2

r = 0.5

2. A(0, 0), B(3, 3), C(6, 3), D(6, 3), 4. A(2, 2), B(3, 4), C(5, 2); r = 2.5

E(3, 3); r = ଵ

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