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.

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asked Sep 23, 2023 7.6k views

2 Answers

Bjou · Answer 1 · 2023-09-29T21:35:22+0000

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.