Question

Graph triangle ABC A(−5,6) B(−7,8) C(−3,9) and its image after a reflection in the x-axis.

Answer 1

The triangle ABC has the following coordinates:

`A\left(−5,6\right),B\left(−7,8\right),C\left(−3,9\right)`

A reflection in the x-axis has the rule:

`(x,y)\to(x,-y)`

Therefore, the coordinates of the image will be:

`\begin{gathered} A^(\prime)=(-5,-6) \\ B^(\prime)=(-7,-8) \\ C^(\prime)=(-3,-9) \end{gathered}`

The graph of the triangle and its image is shown below: