Question

If ABC is reflected across the y-axis, what are the coordinates of C?A. (6,-3)B. (-6,3)C. (3,-6)D. (-6,-3)

Answer 1

Step-by-step explanation:

Given;

We are given the triangle ABC on the coordinate plane with the following coordinates;

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

Required;

We are required to reflect ABC across the y-axis and then identify the coordinates of C' after the reflection.

Step-by-step solution;

The rule for reflecting across the y-axis is to make the x-coordinate negative and leave the y-coordinate untouched after the reflection.

Thus for the point C, the rule will have the following effect;

`\begin{gathered} (x,y)\rightarrow(-x,y) \\ \\ C=(6,3)\rightarrow(-6,3) \end{gathered}`

Therefore,

ANSWER:

The coordinates of C' after the reflection across the y-axis is;

`(-6,3)`

Option B is the correct answer