Question

a figures pre - image is located in quadrant i and rotation 270 degrees counterclockwise. which quadrant will the image of the figure be located in? quadrant i quadrant ii quadrant iii quadrant iv clear my selection

Explanation:

Step1: Understand rotation rules

A \(270^{\circ}\) counter - clockwise rotation is equivalent to a \(90^{\circ}\) clockwise rotation.

Step2: Analyze quadrant change

When a point \((x,y)\) in Quadrant I \((x>0,y > 0)\) is rotated \(90^{\circ}\) clockwise, the new coordinates \((y,-x)\) will have \(y>0\) and \(-x < 0\).

Answer:

Quadrant IV