Dilation (Math 8)

Dilation

​Dilation

• ​Same shape, but it is an enlargement or a reduction.

• ​The image to the right is an enlargement.

• ​The center of dilation is the origin (0,0)

Multiple Choice

What is Dilation?

• Dilation means to enlarge or reduce

• Dilation means to reflect on something

• Dilation means to like something

• Dilation means to make something different by making it smaller

Multiple Choice

Does the image show a Dilation?

• Yes

• No

Multiple Choice

Does the image show a dilation?

• Yes

• No

Multiple Choice

When A (3, 6) is dilated by a scale factor of 2, what are the coordinates of A'?

• (3, 6)

• (1.5, 3)

• (6, 12)

• (12, 6)

​Dilation Example

• ​Scale Factor 2

• ​k = 2

• ​Center of dilation is (0,0)

Multiple Choice

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image? A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

Multiple Choice

Dilate Point A by a scale factor of 1/2

• (-4,-4)

• (-1,-4)

• (-1,-1)

• (-2,-2)

Multiple Choice

A dilation produces a similar figure

• True

• False

Multiple Choice

Enlargement or reduction?  Find the scale factor!

• It's a reduction; the scale factor is 2.

• It's an enlargement; the scale factor is 2.

• It's an enlargement; the scale factor is 1/2.

• It's a reduction; the scale factor is 1/2.