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)
(
)
1 answer
To find the coordinates of point \( C \), given that its reflection point \( C' \) across the x-axis is \( (2, -2) \), we can use the property of reflections.
When a point \( (x, y) \) is reflected across the x-axis, the y-coordinate changes sign, while the x-coordinate remains the same. Therefore, if \( C' \) has coordinates \( (2, -2) \), point \( C \) will have coordinates \( (2, 2) \).
So, the coordinates of point \( C \) are \( \boxed{(2, 2)} \).
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1 answer
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1 answer