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Dilations, Scale Factor, & Similar Figures
By Meredith Hanley
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16 Questions

# Similar Figures

1
1.
Similar figures are the same SHAPE, but not the same SIZE. Figures are similar if...
1
2.
We use ________________ to determine whether or not figures are similar.
1
3.

1
4.
Use color to highlight/mark the corresponding sides and angles in the picture below.
1
5.
Use color to highlight/mark the corresponding sides and angles in the picture below.
1
6.
Solve for x.
1
7.
The triangles below are "nested" figures. Draw them seperately and label the side lengths of both triangles using the draw tool.
1
8.
In the image above, what is the measure of side DE?
1
9.
If a tree casts a 45-foot shadow at the same time that a 6-foot tall man casts a 7.5-foot shadow, find the height of the tree.

# Dilations & Scale Factor

1
10.
The original picture, prior to a transformation is called the image and each point is marked with a '.
1
11.
A dilation with a scale factor greater than 1 is called an enlargement and a dilaton with a scale factor less than 1 is called a reduction.
1
12.
What is the formula for scale factor (k)? Draw in the space below.
1
13.
What is the scale factor for the dilation below?

1
14.
What is the algebraic rule for the dilation below?
1
15.
Using a copy machine, a drawing of a
tower that was 24 inches tall was reduced to a
tower that measured 8 inches high. What was
the scale factor used for the reduction?
1
16.
A traingle has coordinates at A(-2,0) B(-4,4) and C(1, 6). What are the new locations of the coordinates after a dilation by a scale factor of 4?