Question

Figure EFGH on the grid below represents a trapezoidal plate at its starting position on a rotating surface.

Answer 1

The endpoints of the side congruent to side GH are (-3, -4) and (-5, -2).

Answer 2

Answer:

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

$(x,y)\rightarrow (-y,x)$

After rotation the coordinates of G and H are

$G(-4,3)\rightarrow G'(-3,-4)$

$H(-2,5)\rightarrow H'(-5,-2)$

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