Download Test Review

Name __________________________________
Date _________
Geometry A: Chapter 8 Test Review B
1. Given:
PQR
is isosceles with legs PR and RQ
RS is the median, PR=15, PQ=12
Find: Ratio of PR to RQ
2. Find the geometric mean between 2 and 34.
3. Solve for x given 3:4=x:12.
4. Solve for x given
10  x 1
 .
x
4
5. True or False: All squares are similar.
6. True or False: All isosceles triangles are similar.
7. True or False: Two angles of one triangle have measures of 30 and 80 degrees
and two angles of another triangle have measures of 70 and 30 degrees. The two
triangles are similar.
C
8. Given: ABC ~ PQR
R
x
Find: x and y
6
70
A
y
30
7
B
P
14
Q
9. Given: Quads ABCD ~ PQRS
AD= 7, AB=5x, PS=4, PQ= 2x+2
Find: x
L
10. Given: IHJ ~ LKJ
I
J
IH=5, HJ=2 and LK=7
Find: KJ
H
K
11. The lengths of the sides of a triangle are 4, 5 and 6. If the length of the
longest side of a similar triangle is 15, what is the length of the shortest side of
this triangle?
12. The sides of a pentagon are 8, 10, 12, 16 and 18. What is the length of the
longest side of a similar pentagon whose shortest side is 12?
B
13. Given: DE AC
AD 2

DB 5
E
D
CE=6
C
A
Find: EB
14. Given: AF BG CH DI EJ
F
A
AB=2, BC=3, CD=5, DE=4, FI=30
G
B
Find: FG
C
H
I
D
J
E
15. Determine whether the two triangles are similar and, if they are similar, state
the reason.
a)
b)
G
I
30
60
K
60
60
60
F
70
81
J
70
H
16. The lengths of corresponding sides of two similar polygons are in a ratio of
1:3. If the perimeter of the larger polygon is 60, find the perimeter of the smaller
polygon.
17. A 10 foot ramp is used to load freight on a truck. A point 4 feet along the
ramp is 2 feet above the ground. How far above the ground is the upper end of
the ramp?
A
18.
1.
Prove: (BE)(AD)=(EC)(BD)
BE BA

BD BC
E
1. Given
D
B
C
B
19. Prove:
1. AB DE
AC AB

CD DE
1. Given
C
D
A
E