Question

Andrea has to find a third point c to form a triangle on the coordinate plane shown. She is told the coordinates of its reflection point c across the x-axis are (2, -2). What are the coordinates of point c

Answer 1

The coordinates of a point and its reflection across the x-axis have the same x-coordinate but the opposite y-coordinate.

Given that the coordinates of the reflection point \(c\) across the x-axis are \((2, -2)\), we can determine the coordinates of point \(c\) by reversing the sign of the y-coordinate.

The reflection point across the x-axis has coordinates \((x, -y)\):

1. From the given reflection point \((2, -2)\), the x-coordinate remains the same: \(x = 2\).
2. The y-coordinate of point \(c\) is the opposite of \(-2\), which is \(y = 2\).

Therefore, the coordinates of point \(c\) are \((2, 2)\).