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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
?

(1 point)
(
)
Remaining Attempts

Answer 1

The reflection of point C across the x-axis means that for point C, the y-coordinate is the opposite of the y-coordinate of its reflection C′.

Given the coordinates of C′ are (2, -2), we have:

• The x-coordinate of C is the same as that of C′: 2.
• The y-coordinate of C is the opposite of that of C′: since C' has a y-coordinate of -2, the y-coordinate of C will be 2.

Therefore, the coordinates of point C are:

C = (2, 2).