AnswersAlgebra Essentials B CRUnit Test

Experimental vs. Theoretical Probability Answers

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Rectangle PQRS is rotated 90° clockwise about the origin. What are the coordinates of R’?

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A
R’(4,–1)
B
R’(–4,1)
C
R’(1,4)
D
R’(–1,–4)
22
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Triangle PQR has coordinates P(–8, 3), Q(–8, 6), and R(–3, 6). If the triangle is translated by using the rule , what are the coordinates of triangle ?

Question illustration
A
P prime (negative 12, 9), Q prime (negative 12, 12), R prime (negative 7, 12)
Option A
B
P prime (negative 4, 7), Q prime (negative 14, 0), R prime (1, 10)
Option B
C
P prime (negative 4, 9), Q prime (negative 4, 12), R prime (1, 12)
Option C
D
P prime (negative 4, negative 3), Q prime (negative 4, 0), R prime (1, 0)
Option D
23

Which rule describes the translation below?

Question illustration
A
(x, y) right-arrow (x minus 5, y minus 3)
Option A
B
(x, y) right-arrow (x + 5, y + 3)
Option B
C
(x, y) right-arrow (x minus 3, y minus 5)
Option C
D
(x, y) right-arrow (x + 3, y + 5)
Option D
24

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.
25

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.

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