Question

Use the image to answer the question.

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 (
,
).
Remaining Attempts : 3
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Answer 1

To find the coordinates of vertex \( A' \) after reflecting triangle \( ABC \) over a vertical line, we need to know the coordinates of vertex \( A \) and the position of the vertical line.

Let's say the coordinates of vertex \( A \) are \( (x_A, y_A) \) and the vertical line of reflection is given at \( x = k \). When reflecting over a vertical line, the \( y \)-coordinate remains the same, while the \( x \)-coordinate is transformed as follows:

\[
x' = 2k - x
\]

Thus, the coordinates of vertex \( A' \) after the reflection will be:

\[
A' = (2k - x_A, y_A)
\]

Once you provide the coordinates of vertex \( A \) and the position of the vertical line, I can calculate the exact coordinates of vertex \( A' \). Please provide that information.