Question

use structure on a separate sheet of paper, draw a right triangle abc and point p not on the triangle
a. rotate triangle abc 90° counterclockwise about p.
b. name a clockwise rotation that would map triangle abc onto triangle abc.
clockwise rotation about point p

Explanation:

Step1: Understand rotation properties

A counter - clockwise rotation of \(90^{\circ}\) is equivalent to a clockwise rotation of \(270^{\circ}\) around the same point.

Step2: Verify the rotation equivalence

The total angle around a point is \(360^{\circ}\). If we consider a rotation operation, let the counter - clockwise rotation angle be \(\theta_{ccw}\) and the clockwise rotation angle be \(\theta_{cw}\). We know that \(\theta_{ccw}+\theta_{cw}=360^{\circ}\). Given \(\theta_{ccw} = 90^{\circ}\), then \(\theta_{cw}=360^{\circ}- 90^{\circ}=270^{\circ}\)

Answer:

\(270^{\circ}\)