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 (,).
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Answered by
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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