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Geometry module 7 study guide

Total questions: 27

Worksheet time: 1hrs 6mins

Name
Class
Date
1.
√24
a)
4√6
b)
2√6
c)
6√2
d)
2√12
2.
SIMPLIFY:
a)
A
b)
B
c)
C
d)
D
3.
Simplify:
a)
A
b)
B
c)
C
d)
D
4.

What is the measure of side c?

a)

6

b)

626\sqrt{2}

c)

636\sqrt{3}

d)

12

5.

Do the lengths form a right triangle? 6, 8, 10

a)

yes

b)

no

6.
The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
4, 5, 6
a)
right
b)
obtuse
c)
acute
7.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
8.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
9.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
10.
a)
A
b)
B
c)
C
d)
D
11.
a)
A
b)
B
c)
C
d)
D
12.
a)
A
b)
B
c)
C
d)
D
13.
Find the ratio for sinA. (Reduce the fraction)
a)
36/27
b)
4/5
c)
36/45
d)
3/5
14.
What is the value of x?
a)
4.20
b)
7.32
c)
0.14
d)
4.91
15.
What is the value of x?
a)
42.59
b)
0.03
c)
38.60
d)
8.39
16.
Find the measure of the indicated angle.
a)
9.39
b)
55.2
c)
20.2
d)
19.4
17.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95
18.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

19.
A plane takes off at an angle of 30 degrees and reaches a height of 10 miles.  What is the diagonal distance it has traveled from take off to it's current position?
a)
15 miles
b)
38 miles
c)
17 miles
d)
20 miles
20.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
21.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
22.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 3√3 y = 3√2
23.
Solve for x. 
a)
38.9
b)
40.2
c)
45.6
d)
54
24.

What is the value of x?

a)

3743\sqrt{74}

b)

√216

c)

√441

d)

√225

25.

From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet above the ground. How many feet must the dog walk to reach the open barn door directly below Ted (to the nearest foot)?

a)

13

b)

19

c)

21

d)

25

26.

From the top of a 108 foot lighthouse, the angle of depression of a boat at sea is 27º. Find the horizontal distance from the boat to the base of the lighthouse, to the nearest foot.

a)

55

b)

121

c)

212

d)

238

27.

A student lets out 100 feet of string on a kite from a hand height of 3 feet. The angle between horizontal hand height and the kite is 25º. Find the height of the kite above the ground, to the nearest foot.

a)

45

b)

47

c)

52

d)

43

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