Dilations Lesson

Presentation

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Mathematics

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8th Grade

•

Medium

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CCSS

8.G.A.3, 8.G.A.4, 7.G.A.1

Standards-aligned

Meghan Austin

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4 Slides • 12 Questions

Dilations Lesson

Pre-Algebra

Mrs. Austin

Dilations

A dilation is a transformation in which a figure is enlarged or reduced with respect to a point called the center of dilation.
With dilation, the preimage and image are similar.
You can determine the scale factor by finding the ratio of the corresponding sides of the preimage and image.

Dilations

To dilate a figure, with respect to the origin, multiply the coordinates of the preimage by the scale factor (k).
If k>1, the image will be an enlargement.
If k<1, the image will be a reduction.
Algebraic representation: (x,y) --> (kx, ky)

Multiple Choice

Triangle ABC will be dilated by a scale factor of 1/2. What will be the coordinates of C'?

(-1, -2.5)

(12, 6)

(3, -1.5)

(0, 1.5)

Multiple Choice

Dilate Point B by a scale factor of 1/2

(1.5,-4)

(-1.5,1)

(-1,-1.5)

(-2,-2)

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

Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?

Yes, enlarge

Yes, reduce

Multiple Choice

Did the image enlarge, reduce or none of the above?

Enlarge

Reduce

None of the above

Multiple Choice

If your SF = 0.8, what type of dilation is it?

Reduction

Enlargement

Multiple Choice

If your SF = 2.5, what type of dilation is it?

Reduction

Enlargement

Multiple Choice

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

reduction

enlargement

scale factor

center of dilation

Multiple Choice

In a dilation what mathematical operation is used with the scale factor?

addition

subtraction

multiplication

division

Multiple Choice

When the scale factor of a dilation is less than one, the dilation is a reduction.

True

False

Multiple Choice

When a dilation has a scale factor greater than one, the dilation is an enlargement.

True

False

Multiple Choice

A dilation is which of the following:

only an enlargement

only a reduction

Either an enlargement or a reduction

Neither an enlargement or a reduction

Dilations Lesson

Pre-Algebra

Mrs. Austin

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