Question

if abcd is dilated by a factor of \\( \frac { 1 } { 2 } \\), the coordinate of b would be: b = (?, )

Explanation:

Step1: Determine the coordinate of point B

From the graph, the coordinate of point B is \((-2,2)\).

Step2: Apply the dilation formula

When a point \((x,y)\) is dilated by a scale factor \(k\), the new coordinate \((x',y')=(kx,ky)\). Here \(k = \frac{1}{2}\), \(x=-2\), \(y = 2\).
So \(x'=\frac{1}{2}\times(-2)=-1\) and \(y'=\frac{1}{2}\times2 = 1\).

Answer:

\((-1,1)\)