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 image trapezoid, what are the coordinates of the endpoints of the side congruent to side gh?

select one:
a. (-8, -4) and (-5, -2)
b. (4, -8) and (2, -5)
c. (-3, -4) and (-5, -2)
d. (4, -3) and (2, -5)

The correct option is c.

Step-by-step explanation:

From the given figure it is noticed that the coordinates of vertices G and H are  G(-4,3) and H(-2,5).

Rotation 90° about the origin in the counterclockwise direction is defined as

After rotation the coordinates of G and H are

Therefore the coordinates of G and H after rotation are (-3,-4) and (-5,-2). So, option c is correct.

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right