Question

a(-2,2) and b(3,2) rotate 180 degrees a(-2,2), b(3,2) a(2,-2), b(-3,-2) a(2,-2), b(2,3) a(-2,-2), b(-3,-2)

Explanation:

Step1: Recall rotation - 180 - degree rule

When a point \((x,y)\) is rotated 180 degrees about the origin, the new - point \((x',y')\) has coordinates \((-x,-y)\).

Step2: Apply rule to point A

For point \(A(-2,2)\), when rotated 180 degrees, \(x=-2\) and \(y = 2\). Then \(x'=-(-2)=2\) and \(y'=-2\), so \(A'=(2, - 2)\).

Step3: Apply rule to point B

For point \(B(3,2)\), when rotated 180 degrees, \(x = 3\) and \(y = 2\). Then \(x'=-3\) and \(y'=-2\), so \(B'=(-3,-2)\).

Answer:

A' (2, - 2), B' (-3, - 2)