Question

1. dilate kite efgh center of dilation: (0, 0) scale factor: 2 e: __________ f: ________ g: ________ h: __________

Explanation:

Step1: Identify the coordinates of original points

Assume \(E(-2, - 1)\), \(F(0,3)\), \(G(2, - 1)\), \(H(0,-3)\)

Step2: Apply the dilation formula

The formula for dilation with center \((0,0)\) and scale - factor \(k\) is \((x,y)\to(kx,ky)\). Here \(k = 2\).
For point \(E(-2,-1)\), \(E'=(2\times(-2),2\times(-1))=(-4,-2)\)
For point \(F(0,3)\), \(F'=(2\times0,2\times3)=(0,6)\)
For point \(G(2,-1)\), \(G'=(2\times2,2\times(-1))=(4,-2)\)
For point \(H(0,-3)\), \(H'=(2\times0,2\times(-3))=(0,-6)\)

Answer:

E': (-4, -2)
F': (0, 6)
G': (4, -2)
H': (0, -6)