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Geometry
Unit 8 Review
Revised Summer 08
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Competency 1: Pythagorean Theorem
y
7.
45˚
6 2
Find x in simplest radical form.
x
x
1.
9
8.
45˚
12
3
12
2.
y
x
x
6
10
9.
3
x
3.
x˚
3
y
9
10
10.
x
60˚
x
3 2
y
4.
10
30˚
3
4 3
5.
A 20-foot ladder is leaning against a
building. The base of the ladder is 7
feet from the building. To the nearest
foot, how high up the building does the
ladder reach?
Competency 3: Trigonometric Ratios
11.
Use the given right triangle to find:
a) sin 11o
Competency 2: Special Right Triangles
c
a
b) cos 11o
For questions 6 – 10, find the values of the
missing sides and angles (x and y) for each
given right triangle. Leave answers in simplest
radical form.
6.
60˚
8
b
Find x for the right triangles given below.
Round your answer to the nearest tenth.
12.
10
x
27˚
30˚
y
Page 1 of 2
11˚
c) tan 11o
© Mastery Mathematics
x
Geometry
Unit 8 Review
Revised Summer 08
18.
13.
Choose the statement that is NOT
ALWAYS true. For any parallelogram_.
x
a) opposite sides are congruent.
7
x
b) the diagonals are perpendicular.
32˚
c) the diagonals bisect each other.
14.
x˚
d) opposite angles are congruent.
7
19.
24o
3
15.
A meteorologist measures the angle of
elevation of a weather balloon as 32o. A
radio signal from the balloon indicates
that it is 1248 meters from the
meteorologist. How high is the weather
balloon above ground? Round your
answer to the nearest meter.
116o
y
z
x
The figure is a parallelogram.
Competency 4: D.P.- Multiple Choice
E
a) x = 12o , y = 58o, z = 156o
16.
b) x = 58o , y = 12o, z = 156o
c) x = 40o , y = 24o, z = 116o
d) x = 24o , y = 40o, z = 116o
G
20. In the figure shown, m<AED = 119o,
Which statement below is false?
D
F
Δ DEF is equilateral. DG  FG. Which
of the following is true?
c) ΔDFG  ΔGED by SSS
E
•
B
d) ΔDIG  ΔFIG by SAS
17.
If
3 =
x–4
a) x = 7
c) x = -7
Page 2 of 2
7, then_____.
x
b) x = 9
d) x = 17
D
•
a) ΔDGE  ΔFGE by SSS
b) There are no congruent triangles.
•
•
A
•
C
a) m<BEC = 119o
b) <BEC and <CED are
adjacent angles
c) m<AEB = 61o
d) <AEB and <DEC are
supplementary angles.
© Mastery Mathematics