The endpoints of the side congruent to side EF when the plate is rotated 90° about the origin in the counterclockwise direction is (5,-7) and (3,-4).
What is rotation of figure?
Rotation of a figure is the transformation of it about a point in either clockwise or anticlockwise direction. The rotation of a figure changes its coordinate point.
The plate is rotated 90° about the origin in the counterclockwise direction. The rule for 90 degree rotation about the origin in the counterclockwise direction is,
[tex](x,y)-- > (-y,x)[/tex]
In the image trapezoid, is shown. The side congruent to side EF is FG. The endpoints of FG are (-7,-5),(-4,-3). With the rule of rotation,
[tex]F'(-7,-5)=F'(5,-7)\\G'(-4,-3)=G'(3,-4)[/tex]
Thus, the endpoints of the side congruent to side EF when the plate is rotated 90° about the origin in the counterclockwise direction is (5,-7) and (3,-4).
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