Question

△ghi will be rotated 180° around the origin to form △ghi. 180° rotation: (x,y)→(−x,−y) h(−5,7) what are the coordinates of point h after the rotation? (7,−5) (5,−7) (−7,−5) (5,7)

Explanation:

Step1: Apply rotation rule

For point $H(-5,7)$ with rule $(x,y)\to(-x,-y)$, we have $x = - 5$ and $y = 7$.

Step2: Calculate new - coordinates

$x'=-(-5)=5$ and $y'=-7$. So $H'$ is $(5, - 7)$.

Answer:

$(5,-7)$