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
?
To find the coordinates of point C, we need to consider the reflection across the x-axis. In a reflection across the x-axis, the y-coordinate is negated while the x-coordinate remains the same.
Given that the coordinates of the reflection point C' across the x-axis are (2, -2), the x-coordinate of point C remains 2, but the y-coordinate must be negated. The y-coordinate of point C would be -(-2) = 2.
Therefore, the coordinates of point C are (2, 2).