Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a quadrilateral with vertices $g(-10,1), e(-6,-4), o(2,0)$, and $m(0,4)…

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 $m$. (2 points)
$m(square,square)$

Explanation:

Step1: Recall 270 - degree counter - clockwise 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 the rule to point $M(0,4)$

Here $x = 0$ and $y = 4$. Substituting into the rule, we get $(0,4)\to(4,0)$.

Answer:

$(4,0)$