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.

what are the statements

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15