A dilation by a scale factor of 3 can be written as D_3. Since the center of dilation is the origin O(0,0), we can find the image of each of the vertices of the quadrilateral by multiplying their coordinates by the scale factor 3. Let's do it!
ABCD
A'B'C'D'
A(3,0)
A'(3* 3, 0* 3) ⇔ A'(9, 0)
B(1,- 2)
B'(1* 3, -2* 3) ⇔ B'(3,-6)
C(3,- 5)
C'(3* 3, -5* 3) ⇔ C'(9,-15)
D(7,- 1)
D'(7* 3, -1* 3) ⇔ D'(21, -3)
Finally, we will plot and connect the obtained vertices to draw D_3( ABCD)= A' B' C' D'.
As we can see, A'(9,0), B'(3,-6), C'(9,-15), and D'(21,-3) are the coordinates of the image of ABCD.
