Question

I need help with this question... the correct answer choice

Answer 1

Given a triangle of vertices

`(-6,3),(-2,3),(-5,7)`

Let A represent the triangle with the given vertices and B represent the reflection of A across the x-axis

The reflection rule across the x-axis is

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

The reflection of the vertices will be

`\begin{gathered} (-6,3)\Rightarrow(-6,-3) \\ (-2,3)\Rightarrow(-2,-3) \\ (-5,7)\Rightarrow(-5,-7) \end{gathered}`

`\begin{gathered} A\Rightarrow\begin{cases}(-6,3) \\ (-2,3) \\ (-5,7)\end{cases} \\ \\ B\Rightarrow\begin{cases}(-6,-3) \\ (-2,-3) \\ (-5,-7)\end{cases} \end{gathered}`

The graph of triangle A and it's reflection B is shown below

Where A is the blue triangle and B (the reflection of A) is the black triangle

Hence, the right option is A