Similar Figures, Dilations, and Scale Factor

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•

Mathematics

•

10th Grade

•

Hard

Joseph Anderson

FREE Resource

5 Slides • 4 Questions

Topic #3 Properties of Similar Figures

By William Glynn

A dilation is a transformation that enlarges or reduces an original figure proportionally.

Dilations!

Enlargement = gets bigger

Reduction = gets smaller

Preimage = the original figure (before)

Image = the resulting figure (after)

The pre-image and image of the elephant show an enlargement.

Preimage vs. Image

We say that the preimage and its image are similar figures.

Triangle A is dilated to get Triangle B. What is the scale factor?

Example: Finding the scale factor

Is this an enlargement or a reduction?

Which Triangle is the preimage?

How else could you have found the same answer?

*use the grid to count side lengths*

Multiple Choice

Triangle A is dilated to form Triangle B.

Is this an enlargement or a reduction?

Enlargement (gets bigger)

Reduction (gets smaller)

Multiple Choice

Triangle A is dilated to form Triangle B.

What is the scale factor?

$2$

$\frac{1}{3}$

$3$

Multiple Choice

Triangle FHS is dilated to form Triangle GEO.

Is this an enlargement or a reduction?

Enlargement (gets bigger)

Reduction (gets smaller)

Multiple Choice

Triangle FHS is dilated to form Triangle GEO.

What is the scale factor?

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{1}{4}$

Topic #3 Properties of Similar Figures

By William Glynn

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