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 (3/14,7/12)
(
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 \((x, y)\) is reflected across the x-axis, the new coordinates become \((x, -y)\).

Given the point at the bottom of the heart is \(\left(\frac{3}{14}, \frac{7}{12}\right)\), to find the coordinates of the reflected point across the x-axis, we simply negate the y-coordinate:

\[
\text{Reflected point} = \left(\frac{3}{14}, -\frac{7}{12}\right)
\]

Thus, the coordinates for the point at the bottom of the heart in the reflected image are:

\[
\left(\frac{3}{14}, -\frac{7}{12}\right)
\]