AnswersMathematics IITrigonometric Functions and Parallelograms

Practice Test Answers

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1
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What is the length of one leg of the triangle?

A
10 square root of 10
B
10 square root of 5
C
5 square root of 5
D
5 square root of 10
2
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Given right triangle QRS , what is the value of sine of open paren 30 degrees close paren ?

A
2 over 1
B
1 half
C
the fraction with numerator square root of 3 and denominator 3
D
the fraction with numerator square root of 3 and denominator 2
3

Which angle measures are correct? Choose three correct answers.

A
m angle cap z is equal to 125 degrees
B
m angle cap w is equal to 125 degrees
C
m angle cap z is equal to 55 degrees
D
m angle cap x is equal to 55 degrees
E
m angle cap w is equal to 55 degrees
4

Which equation can be used to find the measure of angle LKJ ?

A
cosine inverse of open paren 10 point 9 over 8 point 9 close paren is equal to x
B
sine inverse of open paren 10 point 9 over 8 point 9 close paren is equal to x
C
sine inverse of open paren 8 point 9 over 10 point 9 close paren is equal to x
D
cosine inverse of open paren 8 point 9 over 10 point 9 close paren is equal to x
5

Which is the best approximation for the measure of angle ABC ?

A
27.7 degrees
B
31.7 degrees
C
58.3 degrees
D
62.3 degrees
6

Given: RT―≅TV― and ST―≅TU― Prove: RSVU is a parallelogram. Open image in full-screen view What is the missing statement in step 4?

A
triangle VUR is congruent to triangle VUS and triangle UVS is congruent to triangle SRU
B
triangle VRS is congruent to triangle VRU and triangle USR is congruent to triangle USV
C
triangle RTS is congruent to triangle RVS and triangle RTU is congruent to triangle STV
D
triangle RTS is congruent to triangle VTU and triangle RTU is congruent to triangle VTS
7

What is the length of line segment WU ?

A
4 cm
B
5 cm
C
6 cm
D
7 cm
8

What is the length of line segment AC ? Round to the nearest tenth.

A
10 point 5 cm.
B
12 point 8 cm.
C
9 point 8 cm.
D
3 point 0 cm.
9

Given right triangle RST , what is the value of sine of cap s ?

A
13 over 12
B
5 over 12
C
12 over 13
D
5 over 13
10

What is the length of line segment BC ? Round to the nearest tenth.

A
14 point 3 in.
B
20 point 5 in.
C
22 point 6 in.
D
21 point 3 in.
11

Which concept can be used to prove that the diagonals of a parallelogram bisect each other?

A
similar triangles
B
congruent rectangles
C
congruent triangles
D
similar rectangles
12

What is the length of one leg of the triangle?

A
14 units
B
7 square root of 2 units
C
14 square root of 2 units
D
7 units

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