Question

△abc with vertices a(3, 6), b(3, 2), and c(6, 2) is rotated 270° clockwise about the origin. what are the coordinates of c? (2, - 6) (2, 6) (-2, 6) (-6, - 2)

Explanation:

Step1: Recall rotation rule

The rule for a 270 - degree clockwise rotation about the origin is $(x,y)\to(y, - x)$.

Step2: Apply rule to point C

Given point $C(6,2)$, substituting $x = 6$ and $y = 2$ into the rule. We get $C'(2,-6)$.

Answer:

$(2,-6)$