Question

question what is the image of the point (4, 1) after a rotation of 270° counterclockwise about the origin? answer attempt 1 out of 2

Explanation:

Step1: Recall rotation rule

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

Step2: Apply the rule

Given the point $(4,1)$, substitute $x = 4$ and $y = 1$ into the rule. We get $(1,-4)$.

Answer:

$(1,-4)$