Question

Graph ABCD with vertices B(2, 1), C(4,4) and D(4,0) and its image after the reflection in the line n: x=0.

Answer 1

2,1 maybe I just need points

Answer 2

We have a triangle BCD with vertices

`\lbrace(2,1),(4,4),(4,0)\rbrace`

The transformation is a reflection in the line x = 0(also know as the y-axis). A reflection on the y-axis is given by the following transformation:

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

Doing this transformation on each one of our vertices, we can find the transformed figure.

`\begin{gathered} (2,1)\rightarrow(-2,1) \\ (4,4)\rightarrow(-4,4) \\ (4,0)\rightarrow(-4,0) \end{gathered}`

Then, the image is

`\lbrace(-2,1),(-4,4),(-4,0)\rbrace`

The option that fits this transformation is option b.