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: