Question

The shape of a heart is reflected across the x-axis. If the point at the bottom of the heart for the original figure is at (3 1/4, 7 1/2), what are the coordinates for the point at the bottom of the heart in the reflected image?

Answer 1

When a point is reflected across the x-axis, the y-coordinate changes sign.

The original y-coordinate of the point at the bottom of the heart is 7 1/2. When we reflect this point across the x-axis, the y-coordinate changes sign, so the y-coordinate of the reflected point is -7 1/2.

The x-coordinate remains the same.

Therefore, the coordinates for the point at the bottom of the heart in the reflected image are (3 1/4, -7 1/2).