Question

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

Explanation:

Step1: Determine the original coordinate of point C

From the graph, the coordinate of point C is \((2,4)\).

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 \(k = \frac{1}{2}\), \(x = 2\), \(y=4\).
So \(x'=\frac{1}{2}\times2\), \(y'=\frac{1}{2}\times4\).
\(x' = 1\), \(y'=2\)

Answer:

\((1,2)\)