Question

1. a point a (2, 0) on a coordinate plane is rotated 90 degrees counterclockwise about the origin. what will be the new coordinates of point a? (2, 2) (0, -2) (0, 2) (2, 0)

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(90^{\circ}\) counter - clockwise about the origin, the new coordinates \((x',y')\) are given by the transformation \((x,y)\to(-y,x)\).

Step2: Apply the rule to the point \(A(2,0)\)

Here \(x = 2\) and \(y=0\). Substitute into the formula: \(x'=-y\) and \(y'=x\). So \(x'=-0 = 0\) and \(y'=2\).

Answer:

\((0,2)\)