A triangle has corners at (2, 1 ), ( 6 , 1), and ( 1 , -2)#. What will the new coordinates of the triangle be if it is reflected across the x-axis?

1 Answer
Apr 19, 2016

New coordinates of the triangle will be $\left(2 , - 1\right)$, $\left(6 , - 1\right)$ and $\left(1 , 2\right)$.

Explanation:

Reflection of a point $\left(x , y\right)$ in $x$-axis is $\left(x , - y\right)$.

Hence reflection of a triangle having corners at $\left(2 , 1\right)$, $\left(6 , 1\right)$ and $\left(1 , - 2\right)$ will be a triangle with corners at $\left(2 , - 1\right)$, $\left(6 , - 1\right)$ and $\left(1 , 2\right)$.

Hence, new coordinates of the triangle will be $\left(2 , - 1\right)$, $\left(6 , - 1\right)$ and $\left(1 , 2\right)$.