Question

show what you know
if a point (1,2) is rotated 180° about the origin, what are the new coordinates?
(2,-1)
(2,1)
(1,-2)
(-1,-2)

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(180^{\circ}\) about the origin, the new coordinates are \((-x,-y)\).

Step2: Apply the rule to the given point

For the point \((1,2)\), \(x = 1\) and \(y=2\). Then \(-x=-1\) and \(-y = -2\).

Answer:

\((-1,-2)\)