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rotate point c 90° counter - clockwise about the origin. enter the new …

Question

rotate point c 90° counter - clockwise about the origin. enter the new coordinates. c=(?,)

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 90 - degrees counter - clockwise about the origin is $(x,y)\to(-y,x)$.

Step2: Apply the rule

Given point $C(1,4)$, where $x = 1$ and $y = 4$. Substitute into the rule: $-y=-4$ and $x = 1$.

Answer:

$C'=(-4,1)$