AnswersSRC 2022 MJ Grade 8 Pre-Algebra Q1Congruence and Transformations

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Which sequence of transformations produces R’S’T’ from RST?

Question illustration
A
a 90 clockwise rotation about the origin and then a translation 2 units left
Option A
B
a 90 counterclockwise rotation about the origin and then a translation 2 units right
Option B
C
a translation 2 units left and then a reflection over the y-axis
D
a translation 2 units right and then a reflection over the x-axis
4

Triangle MNO is reflected over the x-axis and then translated up 4 and right 3. How can the transformation be amended such that the translation can occur before the reflection and have the image remain in the same position?

Question illustration
A
Translate the pre-image down 4 and right 3 and then reflect the figure over the x-axis.
B
Translate the pre-image up 3 and right 4 and then reflect the figure over the x-axis.
C
Translate the pre-image up 4 and left 3 and then reflect the figure over the y-axis.
D
Translate the pre-image down 3 and right 4 and then reflect the figure over the x-axis.
5

The vertices A(–2, –1), B(–3, 2), C(–1, 3), and D(0, 0) form a parallelogram. The vertices A’(–1, –2), B’(2, –3), C’(3, –1), and D’(0, 0) are the image of the parallelogram after a sequence of transformations. Which sequence of transformations could produce the image from the pre-image?

A
a reflection over the x-axis and then a reflection over the y-axis
B
a reflection over the y-axis and then a 90 clockwise rotation about the origin
Option B
C
a 90 clockwise rotation about the origin and then a reflection over the y-axis
Option C
D
a 90 counterclockwise rotation about the origin and then a reflection over the x-axis
Option D
6

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
7

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.
8

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
9

Chareese reflects figure RSUT over the y-axis and then rotates the reflected figure 180 about the origin, resulting in figure A. She states that . Which best describes the accuracy of her congruency statement?

Question illustration
A
Accurate. A reflection will change the direction the vertices trace around the figure. A rotation preserves the change.
B
Accurate. A reflection preserves the direction the vertices trace around the figure. A rotation changes that direction.
C
Inaccurate. The correct congruency statement is .
Option C
D
Inaccurate. The correct congruency statement is .
Option D
10

Figure X is translated down 5 and then reflected over the y-axis, forming figure Y. Which sequence of transformations results in the same transformation?

Question illustration
A
a translation left 5 units and then a reflection over the x-axis
B
a translation left 5 units and then a translation down 5 units
C
a 180 rotation using the origin as the center of rotation
Option C
D
a reflection over the y-axis and then a translation down 5 units

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