Question

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

Explanation:

Step1: Find the coordinate of point D

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

Step2: Apply the dilation formula

When a point \( (x,y) \) is dilated by a scale factor \( k \), the new coordinate \( (x',y')=(k\times x,k\times y) \). Here \( k = 3,x = 2,y=-2 \).
So \( x'=3\times2=6 \) and \( y'=3\times(-2)=-6 \).

Answer:

\((6,-6)\)