Triangle ABC

has been reflected over a vertical line of reflection. The coordinates of vertices A
, B
, C
, and B′
are shown. What are the coordinates of vertex A′
?

(1 point)
The coordinates of vertex A′
are (

1 answer

To determine the coordinates of vertex A' after reflection, we need to know the coordinates of vertex A and the line of reflection.

Let's say vertex A has coordinates (x_A, y_A) and the line of reflection is a vertical line defined by a specific x-coordinate.

When reflecting over a vertical line, the x-coordinate of the point on the opposite side of the line is determined by the distance from the point to the line.

If the line of reflection is x = k, then the reflected point A' will have coordinates:

  • \( A' = (2k - x_A, y_A) \)

If you provide me with the coordinates of A and the equation of the line of reflection, I can help you find the exact coordinates of A'.