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?
To reflect a point across the x-axis, we need to change the sign of the y-coordinate while keeping the x-coordinate the same.
Given that the point at the bottom of the heart in the original figure is (3 ¼, 7 ½), to find the coordinates for the point in the reflected image, we change the sign of the y-coordinate.
Therefore, the coordinates for the point at the bottom of the heart in the reflected image will be (3 ¼, -7 ½).
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).