Question

use the coordinates plotted below.
which point is a 90° counterclockwise rotation of b around k?

Explanation:

Step1: Recall the rule for 90° counter - clockwise rotation

The rule for a 90° counter - clockwise rotation about the origin \((x,y)\to(-y,x)\). But when rotating about a point \(K=(0,0)\), we use the same rule. Let the coordinates of point \(B\) be \((5,8)\).

Step2: Apply the rotation rule

For a point \((x,y)\) rotated 90° counter - clockwise about the origin \((0,0)\), the new coordinates \((x',y')\) are given by \(x'=-y\) and \(y' = x\). Substituting \(x = 5\) and \(y = 8\) into the formula: \(x'=-8\) and \(y'=5\). Looking at the grid, the point with coordinates \((- 8,5)\) is \(L\).

Answer:

\(L\)