Question

the figure below is dilated by a factor of 3 centered at the origin. plot the resulting image. click twice to plot a segment. click a segment to delete it.

Explanation:

Step1: Find the coordinates of original points

Assume the coordinates of points \(C(0, - 2)\), \(D(1, - 2)\), \(E(3,2)\), \(F(-3,1)\)

Step2: Apply the dilation formula

The formula for dilation centered at the origin \((x,y)\to(kx,ky)\) where \(k = 3\)

• For point \(C(0,-2)\): \((0\times3,-2\times3)=(0,-6)\)
• For point \(D(1,-2)\): \((1\times3,-2\times3)=(3,-6)\)
• For point \(E(3,2)\): \((3\times3,2\times3)=(9,6)\)
• For point \(F(-3,1)\): \((-3\times3,1\times3)=(-9,3)\)

Step3: Plot the new points and connect them

Plot the points \((0,-6)\), \((3,-6)\), \((9,6)\), \((-9,3)\) and connect them to form the dilated figure.

Answer:

Plot the points \((0,-6)\), \((3,-6)\), \((9,6)\), \((-9,3)\) and connect them.