AnswersIntegrated Math II CR SUSD EXTrigonometric Functions and Parallelograms

Trigonometric Functions and Parallelograms — Test Answers

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1
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Which statements are true about triangle QRS ? Choose three correct answers.

A
The side opposite angle cap q is line segment RS .
B
The side adjacent to angle cap r is line segment SQ .
C
The hypotenuse is line segment QR .
D
The side opposite angle cap r is line segment RQ .
E
The side adjacent to angle cap q is line segment QS .
2
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What are the values of x and y ?

A
x is equal to 11 m, y is equal to 1 m
B
x is equal to 10 m, y is equal to 2 m
C
x is equal to 10 m, y is equal to 1 m
D
x is equal to 11 m, y is equal to 2 m
3

What are the angle measures of triangle VUW ?

A
m angle cap v is equal to 30 degrees , m angle cap u is equal to 90 degrees , m angle cap w is equal to 60 degrees
B
m angle cap v is equal to 30 degrees , m angle cap u is equal to 60 degrees , m angle cap w is equal to 90 degrees
C
m angle cap v is equal to 90 degrees , m angle cap u is equal to 60 degrees , m angle cap w is equal to 30 degrees
D
m angle cap v is equal to 60 degrees , m angle cap u is equal to 90 degrees , m angle cap w is equal to 30 degrees
4

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 13 over A
B
tangent of open paren 22.6 degrees close paren is equal to A over 12
C
tangent of open paren 22.6 degrees close paren is equal to 12 over A
D
tangent of open paren 22.6 degrees close paren is equal to A over 13
5

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

A
40 over 41
B
40 ninths
C
9 over 41
D
41 ninths
6

Once you know the length of line segment YX , find the length of the lower base, line segment ZX

A
14 units
B
18 units
C
10 plus 8 square root of 3 units
D
10 plus 4 square root of 3 units
7

What is the length of line segment DB ?

A
20 units
B
68 units
C
48 units
D
24 units
8

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

A
5 over 13
B
13 over 12
C
12 over 13
D
12 fifths
9

Given triangle JKL , sine of open paren 38 degrees close paren equals

A
cosine of open paren 38 degrees close paren .
B
cosine of open paren 52 degrees close paren .
C
tangent of open paren 52 degrees close paren .
D
tangent of open paren 38 degrees close paren .
10

What is the measure of angle LKJ ? Round to the nearest whole degree.

A
45 degrees
B
55 degrees
C
41 degrees
D
49 degrees
11

In quadrilateral ABDC , line segment AB is parallel to line segment CD Which additional piece of information is needed to determine that ABDC is a parallelogram?

A
line segment AC is congruent to line segment BD
B
line segment CD perpendicular to line segment BD
C
line segment AB is congruent to line segment CD
D
line segment AB perpendicular to line segment BD
12

What are the missing angle measures in parallelogram RSTU ?

A
m angle cap r is equal to 70 degrees , m angle cap t is equal to 110 degrees , m angle cap u is equal to 70 degrees
B
m angle cap r is equal to 70 degrees , m angle cap t is equal to 110 degrees , m angle cap u is equal to 110 degrees
C
m angle cap r is equal to 110 degrees , m angle cap t is equal to 70 degrees , m angle cap u is equal to 110 degrees
D
m angle cap r is equal to 110 degrees , m angle cap t is equal to 110 degrees , m angle cap u is equal to 70 degrees
13

In parallelogram WXYZ , what is CY ?

A
11 ft
B
21 ft
C
15 ft
D
23 ft
14

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
4 cm
B
2 cm
C
4 square root of 2 cm
D
2 square root of 2 cm
15

In right triangle XYZ , the right angle is located at vertex cap y The length of line segment XY is 12 point 4 cm. The length of line segment YZ is 15 point 1 cm. Which is the approximate measure of angle YZX ?

A
55.2 degrees
B
34.8 degrees
C
50.6 degrees
D
39.4 degrees
16

In which triangle is the value of x equal to tangent inverse of open paren 3 point 1 over 5 point 2 close paren ? (Images may not be drawn to scale.)

A
Image with description A right triangle has a right angle at the lower-right vertex and angle x at the top vertex. The bottom horizontal side is labeled 3.1, and the slanted side from the lower-left vertex to the top vertex is labeled 5.2.
B
Image with description A right triangle has a right angle at the upper-left vertex and angle x at the upper-right vertex. The top horizontal side is labeled 3.1, and the slanted side from the lower-left vertex to the upper-right vertex is labeled 5.2.
C
Image with description A right triangle has a right angle at the upper-left vertex and angle x at the upper-right vertex. The top horizontal side is labeled 3.1, and the left vertical side is labeled 5.2.
D
Image with description A right triangle has a right angle at the lower-right vertex and angle x at the lower-left vertex. The bottom horizontal side is labeled 5.2, and the right vertical side is labeled 3.1.
17

A right triangle has one angle that measure 23 degrees The adjacent leg measures 27 point 6 cm and the hypotenuse measures 30 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle is equal to 1 half b h

A
381 point 3 cm squared
B
450 point 0 cm squared
C
161 point 8 cm squared
D
68 point 7 cm squared
18

Which equation can be used to find the length of line segment AC ? Open image in full-screen view

A
10 times sine times open paren 40 degrees close paren is equal to AC
B
the fraction with numerator 10 and denominator mathrm sine open paren 40 raised to the mathrm o power close paren is equal to AC
C
the fraction with numerator 10 and denominator mathrm cosine open paren 40 raised to the mathrm o power close paren is equal to AC
D
10 times cosine times open paren 40 degrees close paren is equal to AC
19

What is the value of r ?

A
2
B
4
C
5
D
3
20

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

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