The new coordinates of point A after the triangle is rotated 180 degrees counterclockwise can be found by reflecting the original point A across the x-axis and then the y-axis.
To reflect the point across the x-axis, we keep the x-coordinate the same and change the sign of the y-coordinate. So the new y-coordinate is -6.
To reflect the point across the y-axis, we keep the y-coordinate the same and change the sign of the x-coordinate. So the new x-coordinate is -2.
Therefore, the new coordinates of point A after the rotation are (-2, -6).
Transformations and Congruence Unit Test
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Question
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An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 8 to 8 in increments of 1. A triangle A B C is plotted on the graph. The triangle A B C has its vertices marked with closed points at A left parenthesis 2 comma 6 right parenthesis, B left parenthesis 6 comma 4 right parenthesis, and C left parenthesis 2 comma 2 right parenthesis.
Given point A(2, 6) on the triangle, what are the new coordinates of the point after the triangle is rotated 180 degrees counterclockwise?
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