Question

1. what is the effect of a 270 - degree clockwise rotation about the origin on a point (2, 2)?

(-2, 2)
(-2, -2)
(2, -2)
(2, 2)

Explanation:

Step1: Recall rotation rule

The rule for a \(270^{\circ}\) clockwise rotation about the origin \((x,y)\to(y, -x)\).

Step2: Apply the rule

Given the point \((2,2)\), substitute \(x = 2\) and \(y=2\) into the rule. So, \(x'=2\) and \(y'=- 2\).

Answer:

\((2,-2)\)