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GEOMETRY CP
CHAPTER 9 SPIRAL REVIEW
1. Is it possible to construct a triangle with side
lengths of 4, 6, 9? If so, is the triangle acute,
obtuse or right?
NAME: __________________________
BLK: ______ DATE: _______________
7. In the figure below, if sin x =
cos x and tan x?
12
13
12
B. cos x 
13
13
C. cos x 
12
13
D. cos x 
12
A. cos x 
2. Find the area of a right triangle with a
hypotenuse of 15in and a leg of 12in.
3. Find the value of the
variable.
5
, what are
13
5
12
12
and tan x 
5
5
and tan x 
12
13
and tan x 
5
and tan x 
x
8. What is the measure
of PQ ?
4. If RSTW is a rhombus, find XT and XW.
A.
B.
C.
D.
50°
60°
70°
120°
9. Find the value of x and then classify the
triangle as acute, right, or obtuse.
2x°
5. If RSTW is a rhombus in #3, what is the area
of WXT?
A.
B.
C.
D.
18 3
60°
10. Find the value of x.
36 3
36
48
6. Find the value of x. Round answer to two
decimal places.
11. Find p and k.
3x°
12. Find the value of the
variables.
18. What is the first step in constructing the angle
bisector of angle A?
13. Explain why ACD  CAB.
A. Draw ray AD
B. Draw a line segment connecting points B
and C
C. From points B and C, draw equal arcs that
intersect at D
D. From point A, draw an arc that intersects the
sides of the angle at points B and C.
A.
B.
C.
D.
Vertical angles and cpctc
Vertical angles and AAS
Reflexive Property and cpctc
Reflexive Property and AAS
19. “Two lines in a plane always intersect in
exactly one point.”
Which of the following best describes a
counterexample to the assertion above?
14. Find the area of the parallelogram.
A.
B.
C.
D.
15. Find the area of the trapezoid.
coplanar lines
parallel lines
perpendicular lines
intersecting lines
20. Find the radius and center of the circle with
the equation ( x  2)2  ( y  10)2  121 .
Mixed Solutions:
16. Find the surface area.
142ft2
73
3
A
24°, acute
D
105ft3
D
B
54in2
27.64°
D
17. Find the volume of #16.
A
 2, 10 
r  11
6, 6 3
x  105
y  76
95u 2
Yes, obtuse
p = 58°
k=3
A  84u 2