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
[tex](x,y)\implies (-x,y)[/tex]
Let us substitute the coordinates.
The coordinates of the point A' are
[tex]A(3,3)\implies A'(-3,3)[/tex]
The coordinates of the point B' are
[tex]B(6,5)\implies (-6,5)[/tex]
The coordinates of the point C' are
[tex]C(2,1)\implies (-2,1)[/tex]
Therefore, the coordinates of the triangle A'B'C' are (-3,3), (-6,5) and (-2,1).
Hence, Option C is the correct answer.
