Question

Triangle FGH is graphed on the coordinate plane below.

On a coordinate plane, triangle F G H has points (negative 6, negative 8), (negative 2, negative 3), (negative 4, negative 2).

The figure is rotated 180° using the origin as the center of rotation. How do the coordinates of the vertices of the preimage compare to the coordinates of the vertices of the image?
(x, y) right-arrow (y, x)
(x, y) right-arrow (negative y, negative x)
(x, y) right-arrow (negative x, negative y)
(x, y) right-arrow (x, negative y)

Answer 1

Rotation by 180° about the origin sends each point (x,y) to (-x,-y).

So the option is: (x, y) → (negative x, negative y).

Example: (-6,-8) → (6,8), (-2,-3) → (2,3), (-4,-2) → (4,2).