The coordinates of the image after a reflection over the x-axis are A(-2,3) ,B(0,3), and (-1,1).
Given The coordinates of the triangle ABC are A(-2,3) B (0,3) and C(-1,-1).
We know that the coordinates of x axis used to be positive in first and fourth quadrant. The coordinates of y axis used to be positive in second and first quadrant. The coordinates of x axis are to be negative in second and third quadrant. The coordinates of y-axis used to be negative in third and fourth quadrant.
We have to reflect the triangle over x-axis so the values of y-axis needs to be positive. So we need to just convert the coordinates of y to positive numbers which will make the coordinates as under:
A (-2,3) will not change because it is already positive.
B(0,3) will not change as it is is also positive.
C(-1,-1) will change to (-1,1)
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