Triangle ABC has coordinates 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.
in a reflection over the x-axis, all your x values stay the same, the y's go opposite
A(1,4) -----> A' (1,-4)
Do the others the same way.
Check by plotting the old and the new.
To find the coordinates of the image A'B'C' after a reflection over the x-axis, we simply need to change the sign of the y-coordinates.
Given the coordinates of Triangle ABC:
A(1, 4)
B(3, -2)
C(4, 2)
After reflecting over the x-axis, the y-coordinates will become opposite (positive becomes negative, negative becomes positive). Therefore, A'(1, -4), B'(3, 2), C'(4, -2).
Hence, the coordinates of the image A'B'C' after a reflection over the x-axis are A'(1, -4), B'(3, 2), C'(4, -2).