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 coordinates of original points

Assume coordinates of \(C(-1,-2)\), \(D(1,-2)\), \(E(4,2)\), \(F(-3,1)\)

Step2: Apply dilation formula

For a dilation centered at the origin with scale factor \(k = 3\), the formula is \((x,y)\to(kx,ky)\)

• For \(C(-1,-2)\): \((-1\times3,-2\times3)=(-3,-6)\)
• For \(D(1,-2)\): \((1\times3,-2\times3)=(3,-6)\)
• For \(E(4,2)\): \((4\times3,2\times3)=(12,6)\)
• For \(F(-3,1)\): \((-3\times3,1\times3)=(-9,3)\)

Answer:

Plot the points \((-3,-6)\), \((3,-6)\), \((12,6)\), \((-9,3)\) and connect them to form the dilated image.