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

Question

asked Sep 17, 2019 199k views

1 Answer

YasserKhalil · Answer 1 · 2019-09-21T17:41:13+0000

Answer:

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