Question

ABC has vertices a(-2,0) B (9,-4) and c(3,5) what are the vertices of the image after applying a 90 degree counter clockwise rotation about the origin

Answer 1

`A'(0,-2),B'(4,9),C'(-5,3)`

Explanation:

The given triangle ABC has vertices
`A(-2,0),B(9,-4),C(3,5)`.

We want to find the coordinates of the image triangle A'B'C' after a counterclockwise rotation through an angle of
`90\degree` about the origin.

The mapping for this transformation is,

`P(x,y)\rightarrow P'(-y,x)`.

This implies that,

`A(-2,0)\rightarrow A'(0,-2)`.

`B(9,-4)\rightarrow B'(4,9)`.

`C(3,5)\rightarrow C'(-5,3)`.

See graph