9-6 - Study Guide and Intervention PDF

9-6 - Study Guide and Intervention

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.

9-6 Study Guide and Intervention - Dilations

Chapter 9. 37. Glencoe Geometry. 9-6 Study Guide and Intervention. Dilations. Draw Dilations A dilation is a similarity transformation that enlarges or

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Answer Key. 7-6 Study Guide and Intervention. Growth and Decay. NAME. Exponential Growth 9=7269

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

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

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[PDF] 9-6 - Study Guide and Intervention

NAME DATE PERIOD

Lesson 9-6

Chapter 9 37 Glencoe Geometry

Draw the dilation image of

ABC.Exercises

S and the

1. r = 2 2. r =

3. r = 1 4. r = 3

5. r =

6. r = 1

Study Guide and Intervention

DilationsExample

NAME DATE PERIOD

Chapter 9 38 Glencoe Geometry

Multiply the

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

Exercises

Study Guide and Intervention (continued)

Dilations

Example

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

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

8101214

2468101214x