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Dilations. Example 1. Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the origin. K (3, - 1)  →  K ′( , ) L (3, 0)  →  L ′( , ) M ( - 2, 0)  →  M ′( , ) . Example 2.

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example 1
Example 1

Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the origin.

K(3, -1)  → K′( , )

L(3, 0)  → L′( , )

M(-2, 0)  → M′( , )

example 2
Example 2

Write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the origin.

J(-2, -2)  → J′( , )

K(-2, 2)  → K′( , )

L(-1, 2)  → L′( , )

M(-1, -2)  → M′( , )

example 3
Example 3

Write the coordinates of the vertices after a dilation with a scale factor of 1/3 centered at the origin.

L(9, -3)  → L′( , )

M(9, 9)  → M′( , )

N(0, -6)  → N′( , )

example 4
Example 4

Determine whether the dilation from Figure A to Figure B is a reduction or enlargement. Then, fing the values of the variables.

y cm

4.5 cm

B

A

example 5
Example 5

Determine whether the dilation from Figure A to Figure B is a reduction or enlargement. Then, fing the values of the variables.

6 cm

A

B

y cm

example 51
Example 5

Find the scale factor. Tell whether the dilation is a reduction or an enlargement. Then, find the values of the variables.

13.5

3

5.2

y

3

x

example 6
Example 6

Determine whether the following scale factor would create an enlargement, reduction, or isometric figure.

a. 7.9 b. 2/3 c. 8/5

example 7
Example 7

Given the point and its image, determine the scale factor:

Q(14, 9); Q’(4.76, 3.06)