Question

rectangle math is rotated 180 degrees about the origin. use rotation mapping to solve for the coordinates of t

Explanation:

Step1: Recall rotation rule

The rule for a 180 - degree rotation about the origin is $(x,y)\to(-x,-y)$.

Step2: Identify original coordinates

The coordinates of point $T$ are $(5, - 1)$.

Step3: Apply rotation rule

For $T(5,-1)$, when rotated 180 degrees about the origin, $x = 5$ and $y=-1$. So $T'\to(-5,1)$.

Answer:

$(-5,1)$