Question

A coordinate plane shows the x and y axes ranging from negative 6 to 6 in increments of 1. A line joins two plotted points, upper A and upper B. The coordinates of the plotted points are as follows: upper A is left parenthesis 5 comma 1 right parenthesis and upper B is left parenthesis 3.5 comma 3.5 right parenthesis.

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

Since the reflection point C' is the reflection of C across the x-axis, the x-coordinate of C remains the same, but the y-coordinate flips the sign.

Therefore, the coordinates of point C would be (2, 2).