AnswersPre-Algebra - MA3119 BRotations in the Coordinate Plane

Congruence and Transformations Answers

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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.
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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
3

Triangle GHI is rotated 90 clockwise and then reflected over the y-axis. Which congruency statement is true?

Question illustration
A
Angle G is congruent to angle H is congruent to angle I
Option A
B
Angle G double-prime is congruent to angle H double-prime is congruent to angle I double-prime
Option B
C
Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime
Option C
D
Triangle G H I is congruent to triangle I H G
Option D
4

Which sequence of transformations produces A’B’C’ from ABC?

Question illustration
A
a translation up 3 and then a 90º counterclockwise rotation about the origin
B
a 90º counterclockwise rotation about the origin and then a translation up 3
C
a reflection over the x-axis and then a translation left 2 and down 1
D
a translation left 5 and down 2 and then a reflection over the x-axis
6

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
7

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
8

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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