Chapter 7 In-Class Review
Station #1
1. A soccer team played 25 games and won 17. What is the ratio of wins to losses?
2. The ratio of the measures of the three sides of a triangle is 2:3:5. If the perimeter is 50, find the length of the longest
side.
3. Quadrilateral ABCD ∼ quadrilateral EFGH. (Remember how many degrees a quadrilateral adds up to)
Find the value of x.
Station #2
4. Find the value of x if △ABC ∼ △JKL.
5. Write a similarity statement for the similar triangles and find the length of MN.
6. △FGH ∼ △PQR, FG = 6, PQ = 10, and the perimeter of △PQR is 35. What is the perimeter of △FGH?
Station #3
7. Quadrilateral ABCD ∼ quadrilateral PQRS. If AB = 10, BC = 6, PS = 12, and QR = 4, find the scale factor of ABCD to
PQRS.
3
8. Quadrilateral EFGH ∼ quadrilateral IJKL, EF = 9, FG = 16 and the scale factor of IJKL to EFGH is . Find JK.
4
9. What is the scale factor of the dilation of A to B?
Station #4
10. Name the theorem or postulate that can be used to prove that these triangles are similar.
A) AA Similarity
C) SSS Similarity
B) SAS Similarity
D) SSA Similarity
11. Determine whether the triangles below are similar. If so, state a theorem or postulate that proves the triangles
are similar with work to support it.
F
E
D
Station #5
12. Find EB.
13. Find the value of x.
Station #6
14. A 5-foot tall student cast a 4-foot shadow. If the tree next to her cast a 44-foot shadow, what is the height of the tree?
15. The scale drawing of a porch is 8 inches wide by 12 inches long. If the actual porch is 12 feet wide, what is the length
of the porch?
Station #7
16. △LMN ∼ △XYZ with altitudes 𝐾𝐿 and 𝑊𝑋 . Find
KL.
17. In △ABC, 𝐴𝑋 bisects ∠BAC.
Find the value of x.
18. Find the value of x.