Question

figure EFGH on the grid below represents a trapzoidal plate at its starting position.
The plate is rotated 90 degrees about the origin in the counterclockwise direction. What are the coordinates of the endpoints of the side congruent to side FG

Answer 1

The coordinates of the endpoints of the side congruent to side FG are (-5, -7) and (-3, -4)

How to rotate the figure?

The coordinates of the figure EFGH are given as:

E = (-4,8)

F = (-7,5)

G = (-4,3)

H = (-2,5)

The rule of rotation 90 degrees counterclockwise about the origin in the

(x,y) -> (-y,x)

So, we have:

E' = (-8, -4)

F = (-5, -7)

G = (-3, -4)

H = (-5, -2)

The side congruent to FG are F'G'

Hence, the coordinates of the endpoints of the side congruent to side FG are (-5, -7) and (-3, -4)

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