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.
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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)
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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