Question

graph the image of kite $jklm$ after a rotation $270^{circ}$ counterclockwise around the origin.

Explanation:

Step1: Determine the rotation rule

The rule for a \(270^{\circ}\) counter - clockwise rotation about the origin is \((x,y)\to(y, - x)\).

Step2: Identify the coordinates of the vertices

Assume \(M(1,-6)\), \(L(5,-5)\), \(K(9,-6)\), \(J(5,-9)\)

Step3: Apply the rotation rule

• For \(M(1,-6)\): \((1,-6)\to(-6,-1)\)
• For \(L(5,-5)\): \((5,-5)\to(-5,-5)\)
• For \(K(9,-6)\): \((9,-6)\to(-6,-9)\)
• For \(J(5,-9)\): \((5,-9)\to(-9,-5)\)

Step4: Plot the new vertices

Plot the points \((-6,-1)\), \((-5,-5)\), \((-6,-9)\), \((-9,-5)\) and connect them to form the rotated kite.

Answer:

Plot the points \((-6,-1)\), \((-5,-5)\), \((-6,-9)\), \((-9,-5)\) and connect them.