Question

1. a point is at (3, -4) in the coordinate plane. what coordinates will the point have after a 180 degrees rotation about the origin? (3, 4) (4, -3) (-3, -4) (-3, 4)

Explanation:

Step1: Recall the rule for 180 - degree rotation

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

Step2: Apply the rule to the given point

For the point \((3,-4)\), \(x = 3\) and \(y=-4\).
After rotation, \(x\) becomes \(-x=-3\) and \(y\) becomes \(-y = 4\).

Answer:

\((-3,4)\)