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

Answer:

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

Step-by-step 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.