AnswersPre-Algebra BUnit Test

Unit Test — Unit test Answers

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Triangle XYZ is rotated 90° counterclockwise about the origin.What are the coordinates of point Y’?

Question illustration
A
(4, –2)
B
(1, 4)
C
(–4, 1)
D
(–1, –4)
2
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Parallel lines s and t are cut by a transversal, r, as shown. What is the value of x to the nearest whole number?

Question illustration
A
18
B
20
C
86
D
94
3

What is the coordinate for the image of point H(2, –6) under a 90° clockwise rotation about the origin?

A
H’(–6, –2)
B
H’(6, –2)
C
H’(–6, 2)
D
H’(6, 2)
4

Which lines are parallel? Check all that apply.

Question illustration
A
b is parallel to f
Option A
B
b is parallel to d
Option B
C
c is parallel to e
Option C
D
c is parallel to d
Option D
E
d is parallel to f
Option E
F
e is parallel to f
Option F
5

Triangle A is the pre-image in a translation, and triangle B is the image, as shown below.How was triangle A translated?

Question illustration
A
four units left
B
four units right
C
six units left
D
six units right
6

What is another name for ?

Question illustration
A
Angle G E F
Option A
B
Angle E G F
Option B
C
Angle H E G
Option C
D
Angle E G H
Option D
7

A translation moves point V(–2, 3) to . Which are true statements about the translation?

Question illustration
A
The point moves two units left and four units up.
B
The transformation rule is .
Option B
C
The transformation is a vertical translation.
D
The image is four units to the left of the pre-image.
E
The translation can be described as .
Option E
8

Two parallel lines are cut by a transversal. Angle 1 measures (4x + 28)°, and the angle adjacent to the alternate exterior angle with angle 1 measures (14x + 8)°. What is the value of x?

A
One-half
Option A
B
2
C
8
D
12
9

Missy’s rotation maps point K(17, –12) to K’(12, 17). Which describes the rotation?

A
counterclockwise rotation
Option A
B
counterclockwise rotation
Option B
C
clockwise rotation
Option C
D
rotation
Option D
10

Jason states that . Kelley states that . Which best describes the accuracy of the congruency statements?

Question illustration
A
Jason’s statement is correct. RST is the same orientation, shape, and size as ABC.
B
Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a rotation and a translation of ABC.
C
Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.
D
Kelley’s statement is correct. TSR is the same orientation, shape, and size as ABC.
11

Triangle QRS is rotated 180° about the origin.What are the coordinates of point S’?

Question illustration
A
(2, 1)
B
(1, –2)
C
(–1, –2)
D
(2, –1)
12

Marissa wants to write an abbreviated set of directions for finding coordinates of a figure reflected across the y-axis. Which mapping notation is correct?

A
(x, y) right-arrow (negative x, y)
Option A
B
(x, y) right-arrow (x, negative y)
Option B
C
(x, y) right-arrow (negative x, negative y)
Option C
D
(x, y) right-arrow (y, x)
Option D
13

Figure G is rotated 90 clockwise about the origin and then reflected over the x-axis, forming figure H. Which sequence of transformations will produce the same results?

Question illustration
A
a reflection over the y-axis and then a rotation 90 clockwise about the origin
Option A
B
a reflection over the x-axis and then a rotation 90 clockwise about the origin
Option B
C
a 180 rotation about the origin
Option C
D
a reflection over the y-axis and then a reflection over the x-axis
14

Alexi transformed figure L such that its image is figure K after a 90 counterclockwise rotation about the origin and a reflection over the y-axis. Jonathan used figure L to perform the same transformation, but he reflected figure L over the y-axis before performing the 90 counterclockwise rotation. Which best compares Alexi’s and Jonathan’s transformed figures?

Question illustration
A
The change in order will not affect the final image. Their transformed figures will be identical.
B
The change in order will result in the transformed images having vertices in the same location, but in a different orientation.
C
The change in order will result in the transformed image of figure L being transformed back onto figure L.
D
The change in order will result in the transformed image of figure L having a different location.
15

Ethan created three triangles: triangle X, triangle Y, and triangle Z. If and , which must also be true?

Question illustration
A
The triangles are equilateral.
B
The triangles are right triangles.
C
Triangles X and Z are congruent.
D
Triangles X, Y, and Z share one or more vertices.
16

A triangle is translated by using the rule . Which describes how the figure is moved?

Question illustration
A
four units left and one unit down
B
four units left and one unit up
C
one unit right and four units down
D
one unit right and four units up
17

Which pair of angles must be supplementary?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
18

Point B is the image of point A when point A is rotated about the origin. What is known about point A and B?

Question illustration
A
Point B is the result of a 180° rotation.
B
Point A and B have the same x-coordinate.
C
Point B is the result of a 90° counterclockwise rotation.
D
Point A and point B are the same distance from the origin.
20

The point (4, 5) is translated two units left and eight units down. What is the y-coordinate of the image?

Answer not available
21

What must be true for lines a and b to be parallel lines? Select two options.

Question illustration
A
m1 =
Option A
B
m2 = 58
Option B
C
x = 20
D
=
Option D
E
1 = 58
Option E

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