Dilations Review
Name: __________________________________ Date: ________________
1. Graph the dilated image of quadrilateral
MNOP using a scale factor of 1/3 and the origin
as the center of dilation. Then rotate the
figure 180˚ about the origin. List the new
ordered pairs M’N’O’P’.
M’ _____ N’ _____ O’ _____ P’ _____
M” _____ N” _____ O” _____ P” _____
2. Graph the dilated image of triangle XYZ
using a scale factor of 0.5 and the origin as a
center of dilation. Then translate the image
(x + 4, y – 6). List the new ordered pairs X’Y’Z’.
X’ _____
Y’ _____
X” _____
Y” _____
3. Graph the dilated image of quadrilateral
MNOP using a scale factor of 3 and the origin
as the center of dilation. Then reflect the
image across the x-axis. List the new ordered
pairs of M’N’O’P’.
M’ _____ N’ _____ O’ _____ P’ _____
M” _____ N” _____ O” _____ P” _____
Z’ _____
Z” _____
4. Graph the dilated image of
quadrilateral ABCD with a scale factor of
1.5 and the origin as the center of
dilation. List the new ordered pairs
A’B’C’D’.
A’ ______
B’ _____
C’ ______
D’ ______
5. Describe the dilation of quadrilateral MNOP, using the origin as the center.
6. Is triangle ABC similar to triangle DEF? If
so, how can you tell?
7. What is the scale factor? __________
8. Triangle RST has vertices R (0, 0), S (4, 2), and T (2, -2). Triangle R’S’T’ is the
image of triangle RST after a dilation with center (0, 0) and scale factor of ½.
What are the coordinates of point S’?
9. Look at ΔPQR on the coordinate grid.
Suppose that
ΔP’Q’R’ is the result of a dilation
of ΔPQR centered at the origin with a scale
factor of 1.5. What are the coordinates of P’,
Q’, and R’?
10. Dilate by 1/2 using center (0, 0).
Directions: In problems 11 through 14, state if triangles in each pair are simliar.
Explain your reasoning.
11.
12.
13.
14.
Directions: In problems 15 and 16, find the missing length in each pair of similar
triangles.
15.
16.
17. Stephanie casts a shadow of 1.2 m and she is 1.8 m tall. A windmill casts a
shadow of 10 meters at the same time that Stephanie measured her shadow. How
tall is the windmill?