Question

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

Explanation:

Step1: Find the coordinate of point A

From the graph, the coordinate of point A is \((-3,-3)\).

Step2: Apply the dilation formula

When a point \((x,y)\) is dilated by a factor \(k\), the new coordinate \((x',y')=(kx,ky)\). Here \(k = \frac{1}{3}\), \(x=-3\), \(y = -3\).
So \(x'=\frac{1}{3}\times(-3)=-1\), \(y'=\frac{1}{3}\times(-3)=-1\).

Answer:

\((-1,-1)\)