AnswersWHS Pre-Algebra - MA3119 B-CRTopic Test

Topic Test Answers

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1
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What are the coordinates of D’ when the quadrilateral is reflected across the line ?

Question illustration
A
(1, 3)
B
(2, 4)
C
(3, 4)
D
(1, 1)
2
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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
3

Triangle RST is translated 2 units left and then reflected over the y-axis. Which transformations of RST will result in the same image? Check all that apply.

Question illustration
A
a reflection over the y-axis and then a translation 2 units right
B
a 180 rotation about the origin, then a translation 2 units right, and then a reflection over the x-axis
Option B
C
a reflection over the y-axis and then a translation 2 units left
D
a 180 rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis
Option D
E
a reflection over the x-axis and then a translation 2 units right
F
a reflection over the x-axis and then a translation 2 units left
4

The pre-image is

A
a transformation in which the figure flipped over a line.
B
a transformation in which every point moves the same distance in the same direction.
C
the figure after a transformation has been performed.
D
the original figure before a transformation has been performed.
5

Mrs. Hamilton shows her students this graph and asks them to determine how figure A was transformed to figure B. .Marcus suggests that figure A was reflected over the y-axis and then translated 2 to the right and 1 up. Julianne agrees, and states that the transformations could happen in any order. Which best describes the accuracy of Julianne’s statement?

Question illustration
A
Accurate. A translation of figure A of 2 to the right and 1 up and then a reflection over the y-axis produces the image, figure B.
B
Accurate. A reflection over the y-axis and then a translation of 1 up and 2 to the right produces the image, figure B.
C
Inaccurate. A translation of 2 to the right and 1 up and then a reflection over the y-axis results in a figure that is located in the second quadrant.
D
Inaccurate. A reflection over the y-axis and then a translation of 1 up and 2 to the right results in a figure that is located in the second quadrant.
6

The shaded octagon is transformed to the unshaded octagon in the coordinate plane below.Which statement about the transformation is true?

Question illustration
A
The unshaded octagon is a reflection because it is a flip over a diagonal line.
B
The unshaded octagon is a dilation because it is smaller than the shaded octagon.
C
The unshaded octagon is a horizontal translation because it is directly to the left of the shaded octagon.
D
The unshaded octagon is a vertical translation because it is directly under the shaded octagon.
7

If the measure of angle 3 is equal to (2x + 6)° and x = 7, which statements are true? Check all that apply.

Question illustration
A
The measure of angle 6 is 20°.
B
The measure of angle 5 is 70°.
C
The measure of angle 2 is 80°.
D
Angles 2 and 5 are complementary.
E
Angles 5 and 6 are supplementary.
F
Angles 1 and 4 are supplementary.
8

The shape on the left is translated to the shape on the right.Which statement about the transformation is true?

Question illustration
A
The name of the shape on the right is because it is the image of the shape on the left.
Option A
B
The name of the shape on the right is because it is the pre-image of the shape on the left.
Option B
C
The name of the shape on the right is because it is the pre-image of the shape on the left.
Option C
D
The name of the shape on the right is because it is the image of the shape on the left.
Option D
9

Triangle XYZ has vertices X(–1, –3), Y(0, 0), and Z(1, –3). Malik rotated the triangle 90° clockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?

A
X’(3, –1), Y’(0, 0), Z’(3, 1)
B
X’(1, 3), Y’(0, 0), Z’(–1, 3)
C
X’(1, –3),Y’(0, 0), Z’(–1, –3)
D
X’(–3, 1), Y’(0, 0), Z’(–3, –1)
10

What is another name for ?

Question illustration
A
Angle J L K
Option A
B
Angle L K J
Option B
C
Angle K L M
Option C
D
Angle L K M
Option D
11

What is the equation for the line of reflection?

Question illustration
A
x = 6
B
y = 6
C
y = x
D
y = 2
12

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
13

Which graph shows the image of the triangle reflected across the line of reflection shown?

Question illustration
A
On a coordinate plane, a triangle has points (negative 1, negative 3), (2, 4), (4, 2).
Option A
B
On a coordinate plane, a triangle has points (1, 4), (4, 2), (2, 0).
Option B
C
On a coordinate plane, a triangle has points (2, 0), (4, 2), (9, negative 2).
Option C
D
On a coordinate plane, a triangle has points (2, 2), (4, 4), (9, 0).
Option D
14

Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?

A
clockwise rotation
Option A
B
clockwise rotation
Option B
C
rotation
Option C
D
counterclockwise rotation
Option D
15

Parallel lines t and u are cut by two transversals, r and s, which intersect line u at the same point. What is the measure of angle 2?

Question illustration
A
25°
B
42°
C
46°
D
88°
16

Jorge needs to reflect a figure across the line . Which statements are correct regarding steps he could take to complete the reflection? Check all that apply.

Question illustration
A
Jorge should graph in the vertical line with values of –4 for the line of reflection.
B
Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
C
Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.
D
Jorge will not move any point that lies on the line of reflection.
E
Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
F
Jorge could check his work by making sure that the image has the same orientation as the original.
17

Rectangle CDEF is rotated 45° in a clockwise direction. To which angle of the image does angle D correspond?

A
angle
Option A
B
angle
Option B
C
angle C
D
angle D
18

Which segment is the image of reflected across the line ?

Question illustration
A
Line segment A F
Option A
B
Line segment D C
Option B
C
Line segment G H
Option C
D
Line segment J K
Option D
19

What are the coordinates of A’ after reflecting across the line x = 3?

Question illustration
A
(2, 3)
B
(3, 2)
C
(3, 4)
D
(3, –2)
20

Triangle XYZ is reflected across the x-axis, and X = (–11, 8). What are the coordinates of X’ ?

A
(11,–8)
B
(–8, 11)
C
(11, 8)
D
(–11, –8)

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