Question

the figure below is dilated by a factor of 4 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 \(A(-1,-2)\), \(B(2,2)\), \(C(-2,1)\)

Step2: Apply the dilation formula

The formula for dilation centered at the origin with scale factor \(k\) is \((x,y)\to(kx,ky)\). Here \(k = 4\)

• For point \(A(-1,-2)\): \((-1\times4,-2\times4)=(-4,-8)\)
• For point \(B(2,2)\): \((2\times4,2\times4)=(8,8)\)
• For point \(C(-2,1)\): \((-2\times4,1\times4)=(-8,4)\)

Answer:

Plot the points \((-4,-8)\), \((8,8)\), \((-8,4)\) and connect them to form the dilated image.