Name:___________________________
Date:____________
Period:________
Geometry | Evanston Township High School | Ms. Pinakidis
Homework 9.6- Similarity
Similarity Definition
1. In order for two figures to be similar:
2. Given:
the corresponding angles must be
________________________,
and the
corresponding side lengths must be
___________________________.
Find the:
Scale Factor = ______, Ratio of the Side Lengths = ______
Ratio of the Perimeters = _____, Ratio of the Areas = _____
3. Explain why the triangles are not similar.
4. Are these triangles similar? Explain.
99°
57°
57°
42°
5. Monique is 5.5 feet tall, and she stands 5 feet from a lamppost. Her shadow is 4 feet long. How tall is the lamppost?
Label the diagram! (Note: check out the similar triangles!)
6. Suppose ABC  FHG. AB = 10 ft, AC = 20 ft,
AB
BC = 25 ft, and
 2.5 . What is FG?
FH
7. The two triangles below are similar. The area of one
triangle is given. Find the area of the other triangle.
H
B
A
F
C
G
8. The two rectangles below are similar. The area of
one rectangle is given. Find the area of the other
rectangle.
9. Given: DEFG  PQRS, with measures as shown, find
the scale factor.
10. Given: NPR  STV, mP = 90°, mR = 60°, SV = 15, NR = 20, and RP = 10. Find mT, mS, and VT.
mT = _______, mS = _________, and VT = __________
Algebra Review
11. Solve the proportion for x.
x 12

15 9
12. Solve for x.
x  15 12

15
9