Question

Graph triangle ABC with vertices A(0, -1) , B(0 -4) , and C(-4, 0) and its image after a 90 degree rotation about the origin.

Answer 1

The graph of the image after the rotation of 90 degree rotation about the origin is attached

How to find the coordinates

Coordinates of the preimage

A (0, -1)

B (0, -4)

C (-4, 0)

Rotation of triangle ABC (90 degrees about the origin)

To perform a 90 degree counterclockwise rotation about the origin, we can use the rotation formulas. For a point (x, y) rotated counterclockwise by 90 degrees, the new coordinates (x', y') are given by:

x' = -y

y' = x

Applying the Rotation

A' is (1, 0).

B' is (4, 0).

C' is (0, 4).