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What series of transformations gets from the pre image of rectangle ABCD to the image of rectangle A''B''C''D"

What series of transformations gets from the pre image of rectangle ABCD to the image-example-1
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User Ollien
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Looking at the diagram, A'B'C'D' is a reflection of ABCD across the x axis. We can see that the coordinate of B is (- 2, 6) and that of B' is (- 2 - 6). This conforms with the rule that when a figure is reflected across the x axis, the sign of the y coordinate changes.

For A'B'C'D' to A"B"C"D", we can see that the coordinate of B" is (6, - 2). This conforms with the rule of 90 degrees counterclocwise rotation which states that a coordinate, (x, y) becomes (- y, x). By applying this to B', it becomes (- - 6, - 2) = (6, - 2)

We can see that it corresponds, Therefore, the series of transformation are

ABCD to A'B'C'D' Reflection across the x axis

A'B'C'D' to A"B"C"D" 90 degrees counterclockwise rotation about the origin

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User Henry C
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