Figure efgh on the grid below represents a trapezoidal plate at its starting position on a rotating surface: a trapezoid efgh drawn on a 4 quadrant coordinate grid with vertices at e negative 4, 8. f is at negative 7, 5. g is at negative 4, 3. h is at negative 2, 5. the plate is rotated 90° about the origin in the counterclockwise direction. in the rotated trapezoid, what are the coordinates of the endpoints of the side congruent to side eh?

answer: (-8, -4) and (-5, -2).

explanation:

1. write the ordered pairs that represent the points e, f, g, h:

2. a rotaion of 90° about the origin in the counterclockwise direction transforms the coordinates as per the rule (x, y) → (y, -x).

hence, the images of each one of the given points are:

    original point           image

        (x,y)                       (-y, x)

3. conclusion: the endpoints of the side congruent to eh are (-8, -4) and (-5, -2).

true

explanation: