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quadrilateral abcd has vertices at a(2,3), b(8,4), c(12,2), and d(6, - …

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 90° rotation about the origin. coordinates: b( , ) incorrect 2 tries left. please try again

Explanation:

Step1: Recall rotation rule for 180 - degree about origin

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

Step2: Apply rule to point B

Point B has coordinates $(8,4)$. Using the rule $(x,y)\to(-x,-y)$, we get $x = 8$ and $y = 4$, so the new coordinates are $(-8,-4)$.

Answer:

$(-8,-4)$