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?

Respuesta :

Answer:

[tex](0,4) \implies (-4, 0)\\(3,5) \implies (-5,3)\\(2,-1) \implies (1,2)[/tex]

Step-by-step explanation:

A 90° counterclockwise rotation is defined as

[tex](x,y) \implies (-y,x)[/tex]

The given coordinates are

[tex](0,4)\\(3,5)\\(2,-1)[/tex]

Applying the 90° counterclockwise rotation, we have

[tex](0,4) \implies (-4, 0)\\(3,5) \implies (-5,3)\\(2,-1) \implies (1,2)[/tex]

The image attached show both figures.

Ver imagen jajumonac

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