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

Find the coordinates of the vertices of the figure after a reflection of the given-example-1

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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.

User Kenyee
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