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

Question

asked May 23, 2021 187k views

1 Answer

Kenyee · Answer 1 · 2021-05-27T07:14:21+0000

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.