Question

The vertices of ABC are A(-3,5), B(-2,3), and C(-5,3). If ABC is reflected across the y-axis to produce the image A'B'C', find the coordinate of the vertex C'.

Answer 1

`C' =(5,3)`

Explanation:

Given

`A = (-3,5)`

`B = (-2,3)`

`C = (-5,3)`

Reflection across y-axis

Required

Find C'

For reflection across y-axis, the rule is:

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

So, the image of C is:

`(-5,3) \to (-(-5),3)`

`(-5,3) \to (5,3)`

Hence:

`C' =(5,3)`