Answers191 CR GeometryRight Triangle Relationships and Trigonometry; Quadrilaterals

Right Triangle Relationships and Trigonometry; Quadrilaterals — Test Answers

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1
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What is the measure of angle cap n to the nearest whole degree?

A
55 degrees
B
65 degrees
C
45 degrees
D
35 degrees
2
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What is the area of triangle PQR ? Round to the nearest tenth of a square unit.

A
111 point 3 square units
B
185 point 4 square units
C
222 point 5 square units
D
70 point 5 square units
3

Which statement should fill in the blank in the last line of the proof?

A
angle cap n is congruent to angle cap p
B
angle cap m is congruent to angle cap p
C
angle cap n is supplementary to angle cap p .
D
angle cap m is supplementary to angle cap o .
4

What is the measure of angle cap s ?

A
93 degrees
B
56 degrees
C
101 degrees
D
48 degrees
5

The hypotenuse of a 45 degrees - 45 degrees - 90 degrees triangle measures 4 cm. What is the length of one leg of the triangle?

A
2 square root of 2 cm
B
2 cm
C
4 square root of 2 cm
D
4 cm
6

Given right triangle ABC , what is the value of tangent of cap A ?

A
13 over 12
B
5 over 13
C
12 over 13
D
12 fifths
7

What is the length of one leg of the triangle?

A
11 square root of 2 units
B
11 units
C
22 units
D
22 square root of 2 units
8

What is the area of triangle DFG ? Round to the nearest whole square unit.

A
38 square units
B
27 square units
C
728 square units
D
364 square units
9

What is the length of line segment XY ?

A
6 units
B
4 units
C
5 units
D
3 units
10

Which equation correctly uses the law of cosines to solve for y ?

A
9 squared is equal to y squared plus 19 squared minus 2 y 19 cosine open paren 41 degrees close paren
B
9 squared is equal to y squared plus 19 squared minus 2 9 19 cosine open paren 41 degrees close paren
C
y squared is equal to 9 squared plus 19 squared minus 2 y 19 cosine open paren 41 degrees close paren
D
y squared is equal to 9 squared plus 19 squared minus 2 9 19 cosine open paren 41 degrees close paren
11

Which statements are true about triangle QRS ? Choose three correct answers.

A
The hypotenuse is line segment QR .
B
The side adjacent to angle cap r is line segment SQ .
C
The side opposite angle cap r is line segment RQ .
D
The side adjacent to angle cap q is line segment QS .
E
The side opposite angle cap q is line segment RS .
12

Which equation can be used to solve for angle cap A ?

A
sine of cap A over 4 point 6 is equal to sine of open paren 110 degrees close paren over 2 point 4
B
sine of cap A over 3 point 2 is equal to sine of open paren 110 degrees close paren over 4 point 6
C
sine of cap A over 4 point 6 is equal to sine of open paren 110 degrees close paren over 3 point 2
D
sine of cap A over 2 point 4 is equal to sine of open paren 110 degrees close paren over 4 point 6
13

Given right triangle DEF , what is the value of tangent of cap f ?

A
40 over 41
B
41 ninths
C
9 over 41
D
40 ninths
14

What is the value of x ?

A
16
B
14
C
15
D
17
15

Which equation correctly uses the value of b to solve for A ?

A
tangent of open paren 22.6 degrees close paren is equal to 12 over A
B
tangent of open paren 22.6 degrees close paren is equal to A over 13
C
tangent of open paren 22.6 degrees close paren is equal to 13 over A
D
tangent of open paren 22.6 degrees close paren is equal to A over 12
16

What is the value of x ?

A
9
B
7
C
6
D
8
18

To the nearest foot, what amount of fencing is needed to surround the perimeter of the flower bed?

A
50 feet
B
33 feet
C
40 feet
D
17 feet
19

What is the value of r ?

A
5
B
2
C
3
D
4
20

Which measures are accurate regarding triangle JKL ? Choose two correct answers.

A
KL almost equal to 3 point 2 units
B
k almost equal to 4 point 6 units
C
k almost equal to 3 point 7 units
D
KL almost equal to 2 point 5 units
E
m angle cap k is equal to 94 degrees
22

Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.?

A
acute, because 12 squared plus 15 squared is greater than 10 squared
B
obtuse, because 10 squared plus 12 squared is greater than 15 squared
C
obtuse, because 12 squared plus 15 squared is greater than 10 squared
D
acute, because 10 squared plus 12 squared is greater than 15 squared

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