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

[PDF] Dilations - Study Guide and Intervention

Draw Dilations A dilation is a similarity transformation that enlarges or reduces a 5 r = 2 − 3 6 r = 1 Study Guide and Intervention Dilations Example A A'

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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  

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9-5 Study Guide and Intervention (continued) Dilations Identify the Scale Factor If you know corresponding measurements for a preimage and its dilation image, 

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-5 Study Guide and Intervention Dilations Classify Dilations A dilation is a transformation in which the image may be a different size than the preimage

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20 mai 2015 · Determine whether the dilation is an enlargement, reduction, or congruence transformation scale factor pr i e m im ag a e

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9-5 Dilations A'B' = r AB Draw Dilations NAME _DATE PERIOD 9-1 Study Guide and Intervention (continued) Write yes or no Explain your answer DLAD

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5 déc 2018 · completed Study Guide and Intervention Workbook can help you in reviewing for answers to these worksheets are available at the end of each Identify Similarity Transformations A dilation is a transformation that enlarges

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Answers for Workbooks The answers for Chapter 9 of these workbooks can be 5 r = 2 − 3 6 r = 1 Study Guide and Intervention Dilations Example A В S

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answer 1 A(3, 1), B(3, 3), C(3, 3), D(3, 1) 2 A(3, 0), B(2, 3), C(4, 5), D(3, 2) 3 36 Glencoe Geometry 9-5 Study Guide and Intervention Dilations NAME 

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Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.

NAME DATE PERIOD

Lesson 9-6

Chapter 9 37 Glencoe Geometry

9-6 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.

Draw the dilation image of

ABC with center O and r = 2. Draw ??? OA , ??? OB , and ??? OC . Label points A?, B?, and C so that OA = 2(OA), OB? = 2(OB) and OC = 2(OC). connect the points to draw ?A?B?C?. A B C ? is a dilation of ?

ABC.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 =

1 2

3. r = 1 4. r = 3

5. r =

2 3

6. r = 1

Study Guide and Intervention

DilationsExample

OB A COB A C A "B" C Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.

NAME DATE PERIOD

Chapter 9 38 Glencoe Geometry

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, y) → (rx, ry) ?ABC has vertices A(-2, -2), B(1, -1), and C(0, 2). Find the image of ?ABC 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) A

2, -2), A?(-4, -4)

B (1, -1) B?(2, -2) C (0, 2) C?(0, 4) Graph ?ABC and its image ?A?B?C?

Exercises

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

Study Guide and Intervention (continued)

Dilations

Example

1. E(-2, -2), F(-2, 4), G(2, 4), H(2, -2);

r = 0.5

2. A(0, 0), B(3, 3), C(6, 3), D(6, -3),

E (3, -3); r = 1 3

3. A(-2, -2), B(-1, 2), C(2, 1); r = 2

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

9-6 y x y x y x y x y

8101214

6 4 2

2468101214x

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