SOLUTION: Triangle DEG has the coordinates D(-1,1), E(5,-1) and G(4,5) Triangle DEG is rotated 90 degrees about the origin to form (triangle)D'E'G'. State the coordinates of the vertices D'

Algebra ->  Algebra  -> Angles -> SOLUTION: Triangle DEG has the coordinates D(-1,1), E(5,-1) and G(4,5) Triangle DEG is rotated 90 degrees about the origin to form (triangle)D'E'G'. State the coordinates of the vertices D'      Log On

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 Question 256443: Triangle DEG has the coordinates D(-1,1), E(5,-1) and G(4,5) Triangle DEG is rotated 90 degrees about the origin to form (triangle)D'E'G'. State the coordinates of the vertices D', E', and G'.Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!Triangle DEG has the coordinates D(-1,1), E(5,-1) and G(4,5) Triangle DEG is rotated 90 degrees about the origin to form (triangle)D'E'G'. State the coordinates of the vertices D', E', and G'. ``` You didn't state whether the rotation is clockwise or counter-clockwise, so I'll do it both ways: Here are the rules: 1. To rotate a point 90° CLOCKWISE about the origin, Change the sign of the FIRST coordinate, then swap them. 2. To rotate a point 90° COUNTER-CLOCKWISE about the origin, Change the sign of the SECOND coordinate, then swap them. ----------------------------- If you want to rotate the triangle 90° CLOCKWISE, follow rule 1: D(-1,1) --> D'(1,1) E(5,-1) --> E'(-1,-5) G(4,5) --> F'(5,-4) ---------------------------------------------------------------- If you want to rotate the triangle 90° COUNTER-CLOCKWISE, follow rule 2: D(-1,1) --> D'(-1,-1) E(5,-1) --> E'(1,5) G(4,5) --> F'(-5,4) Edwin```