Question

Triangle ABC will be rotated 270 degrees clockwise with the origin as the center of rotation

Answer 1

To rotate a triangle 270 degrees clockwise with the origin as the center of rotation, apply the rotation formula to each vertex of the triangle.

Step-by-step explanation:

To rotate a triangle 270 degrees clockwise with the origin as the center of rotation, we need to perform the following steps:

1. Identify the coordinates of the vertices of the triangle.
2. Apply the rotation formula to each vertex of the triangle.
3. Write the new coordinates of the rotated triangle.

The rotation formula for a point (x, y) by an angle θ clockwise with the origin as the center of rotation is:

x' = x * cos(θ) + y * sin(θ)

y' = -x * sin(θ) + y * cos(θ)

Apply this formula to each vertex of the triangle to get the new coordinates of the rotated triangle.