Let's start by graphing the given coordinates of the triangle.
When a figure is rotated 90^(∘) counterclockwise about the origin, the coordinates of the image's vertices will change in the following way.
(a,b)→ (- b,a)
Using this rule and the vertices of the polygon, we can find the x- and y-coordinates of the image's vertices.
(a,b)
(- b,a)
A(0,4)
A'(- 4,0)
B(0,0)
B'(0,0)
C(- 3,- 1)
C'(1,- 3)
Knowing the vertices of â–³ A'B'C', we can draw the image.
