Question

You rotate triangle ABC, with vertices A(-3, 1), B(-2, 2), and C(-3, 4), 90° counterclockwise about the origin to form triangle A?B?C?. Match each vertex of triangle A?B?C? to its coordinates. (2, 2) (-1, -3) (1, 3) (4, 3) (-2, -2) (-4, -3) A? arrowRight B? arrowRight C? arrowRight

Answer 1

A'(-1,-3)

B'(-2,-2)

C'(-4,-3)

Explanation:

The rotation by 90° counterclockwise about the origin has the rule

`(x,y)\rightarrow (-y,x)`

So, the vertices of the triangle ABC have the images:

`A(-3,1)\rightarrow A'(-1,-3)\\ \\B(-2,2)\rightarrow B'(-2,-2)\\ \\C(-3,4)\rightarrow C'(-4,-3)`

see attached diagram for details.