Figure D’E’F’G’ is a dilation with center (0, 0) of figure DEFG. What is the scale factor?

4

Step-by-step explanation:

Lets start by finding out the cordinates first!

these are the ones we start off with!

D (1,1)  

E (2,2)

F (4,2)

G (3,1)

now we need to find the prime image cords.

D' (4,4)

E' (8,8)

F' (16,8)

G' (12,4)

now what we are tying to find is the scale factor, so we need to check what number is multipled by those cordinates to get the prime cordinates.

D is (1,1) and D' is (4,4) but we know that 1x4 is 4 so 4 is the scale factor that we multiply all the numbers by ! i hope that made sense !

(a) the volume of the cone is 20/3 in3

hence, option a is correct.