Question

Use the image to answer the question.



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

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

Answer 1

To determine the coordinates of the reflected vertex A′, we need to know the coordinates of vertex A and the position of the vertical line of reflection.

Generally, when a point (x, y) is reflected over a vertical line (like x = k), the new point A′ will have the same y-coordinate but the x-coordinate will mirror over the line of reflection. The formula for reflecting a point (x, y) over a vertical line x = k is as follows:

- A(x, y) becomes A′(2k - x, y)

If you provide the coordinates of vertex A and the vertical line of reflection, I can calculate the coordinates of A′ for you!