Andrea has to find a third point C, to form a triangle on the coordinate plane. She is told the coordinates of its reflection C', across the x-axis are (-2,2). What are the coordinate points of C?
To find the coordinates of point C, we need to consider how the reflection across the x-axis affects the coordinates.
When we reflect a point across the x-axis, the x-coordinate stays the same, but the y-coordinate is negated.
If the reflection C' has coordinates (-2,2), this means that the x-coordinate of C' is the same as the x-coordinate of C, but the y-coordinate of C is the negation of the y-coordinate of C'.
So the coordinates of point C are (-2,-2).
wrong
Apologies for the incorrect answer. Let's try solving it again.
Given that the reflection of point C, C', across the x-axis is (-2, 2), we can conclude that the x-coordinate of point C remains the same, while the y-coordinate is negated.
So, if the coordinates of C' are (-2, 2), then the coordinates of point C are also (-2, -2).
Therefore, the correct answer is C (-2, -2).