Geometry Review Sheet - Pingry School
9.1 to 9.4 Geometry Review Sheet
Solve the following for the variables listed.
1. 2.
3. 4.
5. In the following drawing, name a radius, a diameter, a tangent, a secant, a point of
tangency and a chord.
6. In the drawing, AC is a tangent, AE and BD are radii, AC = 24, EC = 25, and ED = 15.
Find AE, BD, AB and BC.
7. Find FC if DC = 5 and DB = 12.
8. In circle B if mCD = 60 and BC = 5 find AC, AB and AD.
9. In circle M, if mAB = 120, find x. (AC and BC are tangents)
Solve the following.
x y
10. 11.
IH=16 BY=_____
BX=3 PX=_____
XY=12 OC=_____
PO=_____
c OY=_____
OP = ______
12. CB and CD are tangents to (O at B and D, respectively. Complete:
a) If OC = 15 and OB = 9 then BC = ______.
b) If OC = [pic] and BC = 6 then OB = ______.
c) If AB = 12 and BC = 8 then OC = ________.
d) If OC =[pic]and BC = [pic]then AB = ______.
e) If m(OCB = 30 and OB = 4 then OC = ______.
f) if m(COB = 60 and CB = [pic] then AB = ______.
g) if m(BCD = 70 then m(CBD = m(_____ = ______.
h) If m(BCD = 50 then m(DB0 = ______.
13. In (A, if mBC = 66 find m(BDA.
Answers:
1. x=[pic] y= 24 z= [pic]
2. x= [pic] y=6 z= [pic]
3. x=[pic] y=[pic] z= [pic]
4. x=[pic]
5. Radius OG Diameter AG Tangent DF Secant BC Pt Tangency F
chord BC
6. AE= 7 BD= 2 4/5 AB= 14 2/5 BC= 9 3/5
7. FC= [pic]
8. AC= [pic] AB=10 AD=5
9. x= 60
10. BY= 15 PX=5 OC= 8 PO=4 OY=17
11. 15
12. a) 12 b) [pic] c) 10 d) [pic] e) 8 f) 12 g) 55 h) 25
13. 33
-----------------------
x
z
12
x
30
y
30
45
45
y
12
z
x
45
y
x
z
12
B
18
A
30
C
C
30
F
D
D
E
G
O
A
A
B
A
D
C
F
B
D
B
C
A
x
M
B
D
H
10
5
O
P
D
A
A
O
C
B
C
C
B
P
H
O
B
................
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