Given:
Vertices of triangle ABC are A (1,4), B(3,−2) and C(4,2).
Triangle ABC reflected over the x-axis to get the triangle A'B'C'.
To find:
The coordinates of the image A'B'C'.
Solution:
If a figure reflected over the x-axis, then rule of transformation is
[tex](x,y)\to (x,-y)[/tex]
Now, using this rule, we get
[tex]A(1,4)\to A'(1,-4)[/tex]
[tex]B(3,-2)\to B'(3,2)[/tex]
[tex]C(4,2)\to C'(4,-2)[/tex]
Therefore, the coordinates of the image A'B'C' after a reflection over the x-axis are A'(1,-4), B'(3,2) and C'(4,-2).
