Question

if abcd is dilated by a factor of \\( \frac { 1 } { 3 } \\), the coordinate of d would be: d = ( ? , )

Explanation:

Step1: Find the coordinate of D

From the graph, the coordinate of D is \((6,-3)\).

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 \(k = \frac{1}{3}\), \(x = 6\), \(y=-3\).
So \(x'=\frac{1}{3}\times6 = 2\), \(y'=\frac{1}{3}\times(-3)=-1\).

Answer:

\((2,-1)\)