# A triangle has corners at (2, 1 ), ( -4 , 3), and ( 1 , -2)#. What will the new coordinates of the triangle be if it is reflected across the x-axis?

The new coordinates will be $\left(2 , - 1\right) , \left(- 4 , - 3\right)$, and $\left(1 , 2\right)$.
Reflection about the $x$-axis changes the sign of the $y$-coordinates of the reflected points. Therefore, the new coordinates will be $\left(2 , - 1\right) \left(- 4 , - 3\right)$, and $\left(1 , 2\right)$.