Question
Triangle ABC𝐴𝐵𝐶 has been reflected over a vertical line of reflection. The coordinates of vertices A𝐴, B𝐵, C𝐶, and B′𝐵′ are shown. What are the coordinates of vertex A′𝐴′?(1 point)The coordinates of vertex A′𝐴′ are (,).
Answers
GPT-4o mini
To determine the coordinates of vertex A′, we need to know the coordinates of vertex A and the line of reflection.
Let's assume the line of reflection is a vertical line, say \( x = k \). The reflection of a point \( (x, y) \) over a vertical line \( x = k \) is given by the formula:
\[
(x', y') = (2k - x, y)
\]
This means the x-coordinate of the reflected point A′ is determined by twice the line of reflection's x-coordinate minus the original x-coordinate of point A.
If you can provide the coordinates of vertex A and the line of reflection, I can calculate the coordinates of vertex A′.
Let's assume the line of reflection is a vertical line, say \( x = k \). The reflection of a point \( (x, y) \) over a vertical line \( x = k \) is given by the formula:
\[
(x', y') = (2k - x, y)
\]
This means the x-coordinate of the reflected point A′ is determined by twice the line of reflection's x-coordinate minus the original x-coordinate of point A.
If you can provide the coordinates of vertex A and the line of reflection, I can calculate the coordinates of vertex A′.
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