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 the original points

Let's assume the coordinates of point \(P\) is \((- 3,1)\), point \(O\) is \((3,1)\) and point \(N\) is \((0,-2)\)

Step2: Apply the dilation formula

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

• For point \(P(-3,1)\): \((-3\times3,1\times3)=(-9,3)\)
• For point \(O(3,1)\): \((3\times3,1\times3)=(9,3)\)
• For point \(N(0,- 2)\): \((0\times3,-2\times3)=(0,-6)\)

Step3: Plot the new points

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

Answer:

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