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A vertical line separates 2 triangles. The triangle to the left of the line is made up of points upper A, upper B, and upper C, while the triangle on the right is made up of points upper A prime, upper B prime, and upper C prime.

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 find the coordinates of vertex \( A' \), we need to understand how reflection works across a vertical line. Generally, if a point \( (x, y) \) is reflected over a vertical line \( x = k \), the reflected point will have coordinates \( (2k - x, y) \).

However, we need the specific coordinates of point \( A \) and the vertical line's position to accurately determine the coordinates of \( A' \).

Let's say, as an example, if:

  • The vertical line is at \( x = 0 \)
  • The coordinates of vertex \( A \) are \( (a, b) \)

The reflected coordinates of vertex \( A' \) would be computed as:

  • \( A' = (-a, b) \)

Please provide the coordinates of point \( A \) and the position of the vertical line of reflection, or a specific detail indicating the relationship among the points for a more accurate answer.