Figure efgh on the grid below represents a trapezoidal plate at its starting position on a rotating surface:

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 fg?

options:
(7, −5) and (4, −3)
(5, 7) and (3, 4)
(−5, −7) and (−3, −4)
(−5, −7) and (−8, −4)

90 degrees it should be in the 1st section, so it not gonna be any negative.

So the answer is the 3rd one.

C.(-5,-7) and (-3,-4)

Step-by-step explanation:

We are given that a trapezoidal plate is rotated 90 degrees about the origin in the counterclockwise direction.

We have to find the coordinates of endpoint of the side congruent to FG.

From given figure

The coordinates of E is  (-4,8)

The coordinates of F is  (-7,5).

The coordinates of H is  (-2,5).

The coordinates of G is (-4,3).

When we rotate 90 degrees about the origin in counterclockwise direction

Then , the transforms the coordinates  as per rule:.

Let F'G' is congruent to side FG.

The coordinates of F is (-7,5) change into (-5,-7).

The coordinates of G is (-4,3) change into (-3,-4).

Hence, the coordinates of end points of side F'G' are (-5,-7) and (-3,-4).

Therefore, option C is true.

i need a picture

step-by-step explanation: