Question

if abcd is dilated by a factor of 2, the coordinate of b would be: b = (?, )

Explanation:

Step1: Find the coordinate of point B

From the graph, the coordinate of point B is \((-1,1)\).

Step2: Apply the dilation rule

When a point \((x,y)\) is dilated by a factor \(k\), the new coordinate \((x',y')=(kx,ky)\). Here \(k = 2\), \(x=-1\), \(y = 1\).
So \(x'=2\times(-1)=-2\), \(y'=2\times1 = 2\).

Answer:

\((-2,2)\)