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square wxyz is rotated 180° counterclockwise about the origin. the orig…

Question

square wxyz is rotated 180° counterclockwise about the origin. the original vertex w is at (4,2). what are the coordinates of w’ after the rotation?

Explanation:

Step1: Recall rotation rule

When rotating a point (x,y) 180° counter - clockwise about the origin, the new coordinates (x',y') are given by (-x,-y).

Step2: Apply the rule

For point W(4,2), x = 4 and y = 2. So x'=-4 and y'=-2. Thus the coordinates of W' are (-4,-2).

Answer:

(-4,-2)