Point A(4,−7)

Question

𝐴
(
4
,
−
7
)
is reflected in the x-axis. Identify the coordinates of its image after this reflection.(1 point)
The coordinates of A′
𝐴
′
are (,).

Answer 1

When a point \( A(x, y) \) is reflected in the x-axis, the y-coordinate of the point changes its sign while the x-coordinate remains the same.

For point \( A(4, -7) \):

• The x-coordinate remains \( 4 \).
• The y-coordinate changes from \( -7 \) to \( 7 \).

Thus, the coordinates of the image \( A' \) after reflection in the x-axis are \( (4, 7) \).

So, the answer is: The coordinates of \( A' \) are \( (4, 7) \).