Question

Which sequences of transformations will produce the same results?

Check all that apply.
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 reflection over the x-axis
C. a 90 clockwise rotation about the origin and then a 90 counterclockwise rotation about the origin
D. a translation 6 units right and then a reflection over the x-axis
E. a translation 4 units down and then a reflection over the y-axis

Answer 1

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 reflection over the x-axis

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Step-by-step explanation:

Answer 2

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 reflection over the x-axis

Step-by-step explanation:

When you apply reflection over the x-axis, the transformation will change the y coordinate into -y. A similar thing happens when you do reflection over the y-axis, x coordinate will be -x. Both things will not influence each other so the sequence is not important. The resulting transformation will be equal to reflection to the point of origin.