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Which transformation will be equivalent to rotating a figure 270° counterclockwise (or 90° basically) A) reflecting over the x-axis and the y-axis B) translating left 3 units and down 5 units C) Reflecting over the y-axis and then reflecting over the line y = x D) Reflecting over the y-axis and then reflecting over the line y = -xand explain why, please i need the explanation!!

Cynthia Baker

in Mathematics

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Whitney Matthews on September 26, 2018

C. Rotation of a figure to the left 270° causes the coordinates to change (x, y) to (y, -x). When you reflect a figure over the y-axis and the change of coordinates (x, y) to (x, y). If after reflecting about the line y = x the coordinates would change from (-x, y) to (y, -x). Therefore, reflect on the y-axis and then reflecting about the line y = x will be equivalent to 270° of counterclockwise rotation.


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