In the rectangular coordinate system, segment OP is rotated counterclockwise through - Big Book Test 8 Section 2

GRE Quant Problem Solving
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I was just wondering what would the point P equal when OP is rotated 180 degrees counterclockwise? Will it be (-ve sq root 3, -1)??
When I rotate 90 degrees, i used the slope property, since they are perpendicular then slope of other line will be -ve reciprocal and found (x,y) would be (-1,sq root 3)).

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Yes

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thanks…!