Congruence and Transformations Answers

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1
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The final image is the same as what single transformation?

A
a translation 2 units to the left and 2 units down
B
a reflection across the y-axis
C
a 180° rotation about the origin
D
a clockwise rotation 90° about the origin
3

Which sequence of transformations produces L'M'N' from LMN?

A
a translation 5 units down and 2 units to the right followed by a reflection across the y-axis
B
a reflection across the y-axis followed by a translation 5 units down and 2 units right
C
a translation 5 units down and 2 units to the left followed by a reflection across the y-axis
D
no sequence of transformations
4

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Answers:
A clockwise rotation ° about the origin followed by a translation units to the right and 6 units down produces ΔX'Y'Z' from ΔXYZ.:90
A clockwise rotation ° about the origin followed by a translation units to the right and 6 units down produces ΔX'Y'Z' from ΔXYZ.:2
6

a reflection across the y-axis followed by a clockwise rotation 90° about the origina reflection across the x-axis, followed by a counter-clockwise rotation 90° about the origin, followed by a translation 4 units down and 4 units to the lefta counter-clockwise rotation of 90° about the origin followed by a translation 4 units to the rightno sequence of translations, rotations, and reflections because the images are not congruent

A
a reflection across the y-axis followed by a clockwise rotation 90° about the origin
B
a reflection across the x-axis, followed by a counter-clockwise rotation 90° about the origin, followed by a translation 4 units down and 4 units to the left
C
a counter-clockwise rotation of 90° about the origin followed by a translation 4 units to the right
D
no sequence of translations, rotations, and reflections because the images are not congruent
7

Choose all sequences of transformations that produce the same image of a given figure.

A
a reflection across the x-axis followed by another reflection across the x-axis
B
a reflection across the y-axis followed by a counter-clockwise rotation 90° about the origin
C
a rotation of 180 degrees followed by another rotation of 180 degrees
D
a translation to the right followed by an equal translation to the left
E
a rotation 90° about the origin followed by a counter-clockwise rotation 90° about the origin

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