Question

dilate (\triangle abc) with a scale factor of 8. enter the new coordinates. (a=(?,)) (b=(quad,quad)) (c=(quad,quad))

Explanation:

Step1: Recall the dilation formula

For a point \((x,y)\) and a scale factor \(k\), the new point after dilation is \((kx,ky)\). Here \(k = 8\).

Step2: Find \(A'\)

Given \(A(-3,2)\), using the formula \((kx,ky)\) with \(k = 8\), we have \(x=-3,y = 2\). So \(A'=(8\times(-3),8\times2)=(-24,16)\).

Step3: Find \(B'\)

Given \(B(2,1)\), using the formula \((kx,ky)\) with \(k = 8\), we have \(x = 2,y=1\). So \(B'=(8\times2,8\times1)=(16,8)\).

Step4: Find \(C'\)

Given \(C(-1,-3)\), using the formula \((kx,ky)\) with \(k = 8\), we have \(x=-1,y=-3\). So \(C'=(8\times(-1),8\times(-3))=(-8,-24)\).

Answer:

\(A'=(-24,16)\), \(B'=(16,8)\), \(C'=(-8,-24)\)