Triangle ABC has coordinaes A(1,4); B(3,-2); and C(4,2). Find the coordinates of the image A'B'C' after a reflection over the x-axis.

My answer
A'=(1,-4)
B'=(3,2)
C'= ( 4,-2)
Am I correct?
Thank you.

correct.

Thank you so much!!

To reflect a point over the x-axis, you simply keep the x-coordinate the same and change the y-coordinate to its opposite. So, to find the coordinates of the image A'B'C' after reflecting triangle ABC over the x-axis, you need to negate the y-coordinates of points A, B, and C.

Given the coordinates of A(1, 4), B(3, -2), and C(4, 2), reflecting over the x-axis would result in the following coordinates for the image points:

A' = (1, -4)
B' = (3, 2)
C' = (4, -2)

So, your answer is correct. The coordinates of the image points A'B'C' after a reflection over the x-axis are A'(1, -4), B'(3, 2), and C'(4, -2).