Question

Reflect 3,7 across the -axis.
Then reflect the result across the -axis.
What are the coordinates of the final point?

Answer 1

To reflect the point \( (3, 7) \) across the x-axis, we keep the x-coordinate the same and change the sign of the y-coordinate.

1. Reflect \( (3, 7) \) across the x-axis:
\[
(3, 7) \rightarrow (3, -7)
\]

Next, we take the result \( (3, -7) \) and reflect it across the y-axis. This time, we keep the y-coordinate the same and change the sign of the x-coordinate.

2. Reflect \( (3, -7) \) across the y-axis:
\[
(3, -7) \rightarrow (-3, -7)
\]

Thus, the coordinates of the final point after both reflections are:

\[
\boxed{(-3, -7)}
\]