AnswersLA-Geometry B Distance LearningUnit Test

Unit Test — Unit test Answers

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1
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If quadrilateral ABCD is an isosceles trapezoid, which statements must be true? Select three options

A
BC ∥ AD
B
BD ⊥ AC
C
BA ≅ CD
D
BE ≅ ED
E
∠CBA ≅ ∠BCD
2
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Figure CDEF is a parallelogram.

Question illustration
A
2
B
3
C
4
D
5
3

The equation can be used to find the measure of angle LKJ.

Question illustration
A
41°
B
45°
C
49°
D
55°
4

Complete the proof to show that ABCD is a parallelogram. The slope of is The slope of is The slope of is The slope of is

Question illustration
A
lengths of consecutive sides are not equal
B
slopes of opposite sides are equal
C
lengths of opposite sides are equal
D
slopes of consecutive sides are not equal
5

Which equation can be used to find the length of ?

Question illustration
A
(10)sin(40o) = AC
B
(10)cos(40o) = AC
C
= AC
Option C
D
= AC
Option D
6

Quadrilateral R S T Q is shown. Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.

Question illustration
A
48o
B
56o
C
93o
D
101o
7

A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have measures of 70 degrees and (5 x) degrees.

Question illustration
A
14
B
15
C
16
D
17
8

Triangle ABC is a right triangle and cos(22.6o)=. Solve for b and round to the nearest whole number.

Question illustration
A
tan(22.6o) =
Option A
B
tan(22.6o) =
Option B
C
tan(22.6o) =
Option C
D
tan(22.6o) =
Option D
9

In which triangle is the value of x equal to tan−1? (Images may not be drawn to scale.)

Question illustration
A
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle between the 2 sides is x.
Option A
B
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle opposite to side with length 3.1 is x.
Option B
C
A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 5.2 is x.
Option C
D
A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 3.1 is x.
Option D
10

The equation can be used to find the length of .

Question illustration
A
19.3 in.
B
21.3 in.
C
23.5 in.
D
68.0 in.
11

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm.

A
34.8°
B
39.4°
C
50.6°
D
55.2°
12

Triangle L J K is shown. Angle J L K is a right angle. The length of the hypotenuse is 15 inches and the length of the side adjacent to the right angle is 10 inches. The angle between the 2 sides is x.

Question illustration
A
sin(x) =
Option A
B
sin(x) =
Option B
C
cos(x) =
Option C
D
cos(x) =
Option D
13

WXYZ is a trapezoid with WX ≅ YZ.

Question illustration
A
3 units
B
4 units
C
5 units
D
6 units
14

A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm.What is the approximate area of the triangle? Round to the nearest tenth.Area of a triangle = bh

Question illustration
A
68.7 cm2
B
161.8 cm2
C
381.3 cm2
D
450.0 cm2
15

EFGH is a rhombus.

Question illustration
A
6 units
B
8 units
C
10 units
D
14 units
16

Figure ABCD is a parallelogram.

Question illustration
A
6
B
7
C
8
D
9
17

On a coordinate plane, triangle X Y Z is shown. Point X is at (1, 3), point Y is at (4, negative 1), and point Z is at (5, 6).

Question illustration
A
XZ is not perpendicular to XY
B
XZXY
Option B
C
The slope of XZ is , the slope of XY is , and XZ = XY = 5.
Option C
D
The slope of XZ is , the slope of XY is , and the slope of ZY = 7.
Option D
18

Kite FGHK is shown.

Question illustration
A
m=2
B
m=3
C
m=15
D
m=16
19

On a coordinate plane, rectangle E F G H is shown. Point E is at (1, negative 1), point F is at (negative 4, 1), point G is at (negative 3, 4), and point H is at (2, 2).

Question illustration
A
+ units
Option A
B
+ units
Option B
C
22 units
D
39 units
20

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

A
acute, because 102+122>152
B
acute, because 122+152>102
C
obtuse, because 102+122>152
D
obtuse, because 122+152>102

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