Question

a quadrilateral with vertices g(-10,1), e(-6,-4), o(2,0), and m(0,4) is rotated about the origin 270 degrees (counterclockwise). apply rotation mapping rules to find the image of m.
(1 point)
○ (0,4)
○ (-4,0)
○ (0,-4)
○ (4,0)

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 270 - degrees counter - clockwise about the origin is $(x,y)\to(y, - x)$.

Step2: Apply rule to point M

For point $M(0,4)$, where $x = 0$ and $y = 4$. Substitute into the rule: $(0,4)\to(4,0)$.

Answer:

D. $(4,0)$