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The figure ABCD is transformed to A'B'C'D', as shown: Which of the following sequence of transformations is used to obtain figure A'B'C'D' from ABCD?

A) Counterclockwise rotation by 90 degrees about the origin followed by translation down by 6 units

B) Reflection about the y-axis followed by translation up by 6 units

C) Counterclockwise rotation by 90 degrees about the origin followed by translation up by 6 units

D) Reflection about the x-axis followed by translation down by 6 units

Help? The figure ABCD is transformed to A'B'C'D', as shown: Which of the following-example-1

1 Answer

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*Hint: When a figure is reflective about the y-axis, the rule would be (-x, y)

So as you can see, all the points of the figure changed from a negative x to a positive one but kept the same y value. And then after the translation up by 6 units, the final rule would be (-x, y + 6) and if you were to plug in the points, you would see they would end up as the image.

The answer to this question would be:

B.) Reflection about the y-axis followed by translation up by 6 units.
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