Question

quadrilateral abcd has vertices at a(2,3), b(8,4), c(12,2), and d(6,2). find the coordinates of the image of point b after a 180° rotation about the origin. coordinates: b( )

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to point B

For point $B(8,4)$, when we apply the 180 - degree rotation rule, $x = 8$ and $y = 4$. So the new $x$ - coordinate is $-8$ and the new $y$ - coordinate is $-4$.

Answer:

$B'(-8,-4)$