Question

Find the coordinates of the vertices of the figure after a reflection of the given axis. Then graph the reflection image.

Answer 1

Given:

The coordinates of the triangle ABC are (3,3), (6,5) and (2,1)

We need to determine the vertices of the triangle A'B'C' after reflection across y - axis.

Reflection across y - axis:

The rule to translate the coordinates across y - axis is given by

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

Let us substitute the coordinates.

The coordinates of the point A' are

`A(3,3)\implies A'(-3,3)`

The coordinates of the point B' are

`B(6,5)\implies (-6,5)`

The coordinates of the point C' are

`C(2,1)\implies (-2,1)`

Therefore, the coordinates of the triangle A'B'C' are (-3,3), (-6,5) and (-2,1).

Hence, Option C is the correct answer.