Question

On a coordinate plane, rectangle efgh has points (-2, 1), (-4, 1), (-4, -2), (-2, -2). Rectangle efgh is rotated 180° around point o. What are the coordinates of g'?

1) g'(-2, -2)
2) g'(-4, -2)
3) g'(2, -4)
4) g'(4, 2)

Answer 1

For a rotation of 180°, the x-coordinate of a point remains the same while the y-coordinate is negated. So, the coordinates of g' are (-4, 2), which corresponds to option 2) g' (-4, -2). Point G' will be at coordinates (4, 2) after rectangle EFGH is rotated 180° around the origin on a coordinate plane.

Step-by-step explanation:

The question is about finding the coordinates of point G' after rectangle EFGH is rotated 180° around the origin on a coordinate plane. To find G' after a 180-degree rotation, you can invert both the x and y coordinates of point G. If the original coordinates of G are (-4, -2), after rotation, G' will be the inverse of both coordinates, resulting in G'(4, 2).