Question

A triangle with vertices at (0,4), (3,5), and (2, -l) is rotated 90 degree counterclockwise about the origin. What are the vertices of the image?

Answer 1

B) (-4,0),(-5,3),(1,2)

Answer 2

`(0,4) \implies (-4, 0)\\(3,5) \implies (-5,3)\\(2,-1) \implies (1,2)`

Explanation:

A 90° counterclockwise rotation is defined as

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

The given coordinates are

`(0,4)\\(3,5)\\(2,-1)`

Applying the 90° counterclockwise rotation, we have

`(0,4) \implies (-4, 0)\\(3,5) \implies (-5,3)\\(2,-1) \implies (1,2)`

The image attached show both figures.