Question

1. dilate the figure given the scale factor

scale factor: 4

Explanation:

Step1: Apply dilation formula

For a point \((x,y)\) and scale factor \(k\), the dilated point is \((kx,ky)\).
For point \(U(1,2)\): \(x = 1,y = 2,k = 4\). So \(U'(4\times1,4\times2)=(4,8)\)

Step2: Apply dilation formula

For point \(V(2,3)\): \(x = 2,y = 3,k = 4\). So \(V'(4\times2,4\times3)=(8,12)\)

Step3: Apply dilation formula

For point \(W(3,1)\): \(x = 3,y = 1,k = 4\). So \(W'(4\times3,4\times1)=(12,4)\)

Answer:

\(U'(4,8)\), \(V'(8,12)\), \(W'(12,4)\)