AnswersSRC 2022 MJ Grade 8 Pre-Algebra Q1Congruence and Transformations

Congruence and Transformations Answers

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1
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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
2
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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.
3

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
4

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.
5

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

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