1. The document is a review for Chapter 6 that contains 15 multi-step math problems involving geometry and proportions. 2. It also includes a table with geometry terms and their definitions at the end for additional review. 3. The problems cover a range of concepts like similar triangles, alternate interior angles, proportions, geometric means, and using shadows to calculate heights.

1. Ch 6 Review December 13, 2010
Fly Swatter Game
Fly Swatter 1

2. Ch 6 Review December 13, 2010
1. In ΔABC, EF ll CB. Find x.
C
6
E
>
18
>
A x + 22 Fx + 2 B
2. Find DC if DG and JM are altitudes and ΔKJL ~ ΔEDC.
J
E G C
4 2
x 6-x
D
K M L
3. ΔABC ~ ΔXYZ. If AN and XM are angle bisectors, find p.
A X
21 14
p 18
C Z
B N Y M
30 q
4. Find x.
x 8
9 2x
Fly Swatter 2

3. Ch 6 Review December 13, 2010
5. Find x.
11 14
x
20
6. Josh wanted to measure the height of the Sears Tower
in Chicago. He used a 12-foot light pole and measured
its shadow at 1 pm. The length of the shadow was 2
feet. Then he measured the length of the Sear's
Tower's shadow and it was 242 feet at that time. What
is the height of the Sears Tower?
7. Pentagon ABCDE ~ Pentagon QRSTU.
What is the scale of QRSTU: ABCDE?
A
18 S 7 T
E B x z
R
U
15 12 6
Q
D y C
Fly Swatter 3

4. Ch 6 Review December 13, 2010
8. At 2:00 in the after noon, an oak tree 32 feet tall casts
a shadow that is 18 feet long. If a person standing next
to the tree casts a shadow 3 feet long, how tall is the
person?
9. Determine if the pair of triangles is similar.
C 3
D
25 A
F 7
21 81/3
9
E
B
10. Which similarity theorem is demonstrated below?
A
E
5 6
10 12
D F
B C
11. Find x A
x + 2
8 E B
>
5 6
D > C
Fly Swatter 4

5. Ch 6 Review December 13, 2010
12. Is ΔABC ~ΔDEF? A
10
B E
3
15 20
F 2
C 4
D
13. Solve the proportion.
2 18
- = 12
y+2
-
14. Find the geometric mean of 25 & 8.
15. The measures of the angles of a triangle are in the extended
ratio of 4:7:11. Find the measures of the largest angle.
Fly Swatter 5

6. Ch 6 Review December 13, 2010
8 1:2 57.71 5 ­2 10.6 1:3 1452
2/3 5.3 4 9 32 SSS 2904 96
72 1 no 2801 ­1/4 200 8/5 6
90 SAS 3/5 27 14.14 378 4:1 15.5
11.2 22 3:1 ­2/3 280 AA yes 18
Fly Swatter 6