Question

1. a point (3,5) is rotated 90 degrees counter - clockwise about the origin. what are the resulting coordinates? (-5,3) (5,-3) (-3,5) (5,3)

Explanation:

Step1: Recall the rotation formula

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

Step2: Substitute the values

Given the point \((3,5)\), here \(x = 3\) and \(y = 5\).
Using the formula:
\(x'=-y=-5\)
\(y'=x = 3\)

Answer:

A. \((-5,3)\)