Math 8
Practice 6.7 Dilation
Name ________________________
Date: _____________ Block: ____
Find the coordinates of the image of each point for dilation with a scale factor of
1. A(4, 8)
2. B(3, 10)
3. C(–2, –5)
Triangle PQR has vertices P(–2, 2), Q(3, 2), and R(0, –2). Find the coordinates of its image for a dilation with
each given scale factor. Graph PQR and each dilation.
4.
Scale factor is 2
5. Scale factor is
Find the coordinates of the vertices of triangle A’B’C’ after triangle ABC is dilated using the given scale
factor. Then graph triangle ABC and its dilation.
6. A(–2, –2), B(–1, 2), C(2, 1);
scale factor 2
7. A(–4, 6), B(2, 6), C(0, 8);
scale factor
9. Examine the triangle
a. How many different sizes of triangles do you see?
b. What is the scale factor of each size as compared to the large triangle?
c. How many triangles are there altogether?
8. A(–3, –2), B(1, 2), C(2, –3);
scale factor 1.5
Draw the image of the figure after the dilation with the given center and scale factor.
10. Center: C, scale factor: 2
11. Center: N, scale factor:
Segment P’Q’ is a dilation of segment PQ. Find the scale factor of the dilation and classify it as an
enlargement or a reduction.
12.
13.
14.
15.
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Scale:
Scale:
Scale:
Scale:
16. Dave’s optometrist used medicine to dilate his eyes.
Before dilation, his pupils had a diameter of 4.1
millimeters. After dilation, his pupils had a diameter
of 8.2 millimeters. What was the scale factor of the
dilation?
17. A photograph was enlarged to a width of 15 inches.
If the scale factor was , what was the width of the
original photograph?
In the figure at the right, A’OB’ is a dilation of AOB.
18. Find the image of A(3, 4) for a dilation with a scale factor of 3.
19. Find the image of B(6, 0) for a dilation with a scale factor of 1.3.
20. Find the scale factor if OA = 12, OB = 9, and OA’ = 72.
21. Find the length of A’B’ if AB is 32 inches long and the scale factor is 1.5.