Question

graph the image of kite defg after a dilation with a scale factor of 4, centered at the origin.

Explanation:

Step1: Identify original coordinates

Assume \(D(0, - 2)\), \(E(1,0)\), \(F(0,1)\), \(G(-1,0)\)

Step2: Apply dilation formula

For a dilation centered at the origin with scale - factor \(k = 4\), the formula is \((x,y)\to(kx,ky)\).
For point \(D(0,-2)\): \((0\times4,-2\times4)=(0, - 8)\)
For point \(E(1,0)\): \((1\times4,0\times4)=(4,0)\)
For point \(F(0,1)\): \((0\times4,1\times4)=(0,4)\)
For point \(G(-1,0)\): \((-1\times4,0\times4)=(-4,0)\)

Step3: Graph new points

Plot the new points \(D'(0, - 8)\), \(E'(4,0)\), \(F'(0,4)\), \(G'(-4,0)\) and connect them to form the dilated kite.

Answer:

Plot points \((0, - 8)\), \((4,0)\), \((0,4)\), \((-4,0)\) and connect them to get the dilated kite.