Question

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

Explanation:

Step1: Determine the coordinates of points

Assume \( K=(0,0) \) and \( B=(5,8) \). The rule for a \( 90^{\circ} \) counter - clockwise rotation about the origin \((x,y)\to(-y,x)\).

Step2: Apply the rotation rule

For point \( B(5,8) \), after a \( 90^{\circ} \) counter - clockwise rotation about \( K(0,0) \), we substitute \( x = 5 \) and \( y=8 \) into the formula \((x,y)\to(-y,x)\). So the new coordinates are \((- 8,5)\).
Looking at the graph, point \( H \) has coordinates \((-8,5)\)

Answer:

\( H \)