Name ____________________
1) What is a dilation? _________________________________________________
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________________________________________________________________
2) If a figure is dilated by a scale factor less than 1, what happens to the figure?
________________________________________________________________
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3) If a figure is dilated by a scale factor more than 1, what happens to the figure?
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4) If a figure is dilated by a scale factor of 1, what happens to the figure?
____________________________________
5) Rectangle 1 was dilated by some scale factor to form Rectangle 2. What is the scale
factor?
40 in
24 in
10 in
6 in
Rectangle 1
Rectangle 2
Scale Factor = ______________
For numbers 6-7, draw and label the side lengths of the figure created by dilating
the original figure using the given scale factor.
6) dilation by a scale factor of
21 m
1
3
21 m
24 m
7) dilation by a scale factor of 1.5
6 mm
5 mm
4 mm
9 mm
Solve each problem. Don’t forget labels. Draw a picture to help you.
8) Sharon drew a square with 12 inch sides. Then, she dilated the square by a scale
3
factor of 4. What are the lengths of the sides of the dilated square?
9) Mr. Jones placed a picture of a rectangle on an overhead projector. The overhead
projector dilated the rectangle’s image on the screen by a scale factor of 6. If the
actual rectangle has a length of 4.2 inches and a width of 3.1 inches, what are the
length and width of the dilated rectangle on the screen?
10)
Ted bought a cover for the rectangular pool in his backyard. The pool is 30
feet long and 25 feet wide. The cover is 24 feet long and 20 feet wide. By what
scale factor does Ted need to dilate the dimensions of the pool cover to fit his pool?
11)
Mrs. Kamp’s engineering class constructed a scale model of the Enterprise
Plaza building in Houston. The actual building is 756 feet tall. What scale factor was
used to dilate the height of the actual building to get the height of the scale model,
which is 18.9 feet?