Question

Rotation 180° about the origin for points F(-4,4), G(-4,5), H(0,5), (-3,3). What would H' be?

a) (3, -3)
b) (4, 0)
c) (4, -5)
d) (0, -5)

Answer 1

The coordinates for point H after a 180° rotation about the origin are (0, -5), which corresponds to answer option (d).

Step-by-step explanation:

When performing a 180° rotation about the origin in a coordinate plane, the coordinates of any point (x,y) will become (-x,-y). This is because a 180° rotation flips the point over both the x-axis and the y-axis.

To find the coordinates of H' after the rotation, we take the original coordinates of H (0,5) and apply the rule. So:

• The x-coordinate after rotation: -0 (which is still 0)
• The y-coordinate after rotation: -5

Therefore, the new coordinates for H' after a 180° rotation about the origin are (0, -5), which corresponds to option (d).