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

Reflection across the x-axis changes the y-coordinate's sign and leaves x unchanged. Since C′ = (2, −2), the original point is C = (2, 2).