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 (314,712) , what are the coordinates for the point at the bottom of the heart in the reflected image?

Answer 1

To reflect a point across the x-axis, you change the sign of the y-coordinate while keeping the x-coordinate the same.

For the point \( (314, 712) \):

• The x-coordinate remains \( 314 \).
• The y-coordinate is reflected, so it changes from \( 712 \) to \( -712 \).

Thus, the coordinates for the point at the bottom of the heart in the reflected image are \( (314, -712) \).