Name: ____________________________________________
Date: ______________
7.4-7.7 Review
1. Find AD so that 𝐷𝐸 || 𝐴𝐵.
2. A triangle with coordinates A(0, 0), B(4, 0), and
C(0, 4) is enlarged by a factor of 2. What are the
coordinates of the image?
3. Find the value of y.
4. Find CE.
5. In △PQR, 𝑄𝑆 bisects ∠ PQR.
Find the value of x.
6. The model of a suspension bridge is 18 inches long
and 2 inches tall. If the length of the actual bridge is
1650 feet, find its height.
7. Is the dilation a similarity transformation? Verify
your answer.
8. Find the value of y.
9. A 24-foot flagpole cast a 20-foot shadow. At the
same time, the building next to it cast an 85-foot
shadow. Find the height of the building.
10. Find the value of x.
11. Find the value of x.
F 16
G 20
H 18
12. △LMN ∼ △XYZ with altitudes 𝐾𝐿 and 𝑊𝑋 . Find
KL.
F6
G9
H7
J 19
J 21
13. What is the scale factor of the dilation of A to B?
14. What is the scale factor of the dilation of A to B?
15.
16. A map of a park has a scale factor of 0.4in: 100
feet. On the map, the distance between the playground
and the pavilion is 5 inches. What is the actual
distance between the playground and the pavilion?
17. A scale model of a yacht is 11 inches long. The
actual length of the yacht is 154 feet. How many times
as long as the actual yacht is the model.
18. Find
19. Find
20.
21.
22.
23. In the figure, CD = 11, RQ = 8, PN = 13. Find AD
24.