Find the coordinates of the image of point R(3,-5) rotated 180° about the origin.

Answer 1

To find the image of point R(3,-5) rotated 180° about the origin, we need to reflect the point across the x-axis and then the y-axis.

First, reflecting across the x-axis changes the sign of the y-coordinate, so R(3,-5) becomes R'(3,5).

Next, reflecting across the y-axis changes the sign of the x-coordinate, so R'(3,5) becomes R''(-3,5).

Therefore, the coordinates of the image of point R(3,-5) rotated 180° about the origin are (-3,5).