Question

graph the image of kite cdef after a rotation 270° counterclockwise around the origin.

Explanation:

Step1: Find the coordinates of original points

Assume \(C(5, - 9)\), \(D(7, - 8)\), \(E(5, - 7)\), \(F(0, - 8)\)

Step2: Apply the rotation rule

The rule for a \(270^{\circ}\) counter - clockwise rotation about the origin is \((x,y)\to(y, - x)\)
For point \(C(5,-9)\):
\(x = 5\), \(y=-9\), after rotation \(C'( - 9,-5)\)
For point \(D(7,-8)\):
\(x = 7\), \(y =-8\), after rotation \(D'(-8,-7)\)
For point \(E(5,-7)\):
\(x = 5\), \(y=-7\), after rotation \(E'(-7,-5)\)
For point \(F(0,-8)\):
\(x = 0\), \(y=-8\), after rotation \(F'(-8,0)\)

Step3: Plot the new points

Plot \(C'(-9,-5)\), \(D'(-8,-7)\), \(E'(-7,-5)\), \(F'(-8,0)\) on the coordinate plane and connect them to form the rotated kite.

Answer:

Plot the points \(C'(-9,-5)\), \(D'(-8,-7)\), \(E'(-7,-5)\), \(F'(-8,0)\) and connect them.