Question

What are the coordinates of A'and B'when AB is reflected in the y-axis? Show your work or explainhow you got your answer.

Answer 1

Given:

From the graph given, the coordinates of the points are;

`\begin{gathered} A=(2,5) \\ B=(6,3) \end{gathered}`

When reflecting in the y-axis, the rule below applies.

- Negate the value of the x-coordinate of each point, but leave the y-value the same.

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

Hence, the coordinate of the reflected points will be;

`\begin{gathered} A=(2,5) \\ B=(6,3) \\ \\ A^(\prime)=(-2,5) \\ B^(\prime)=(-6,3) \end{gathered}`

Therefore,

`\begin{gathered} A^(\prime)=(-2,5) \\ B^(\prime)=(-6,3) \end{gathered}`