Recall that a dilation with center (0, 0) and scale factor
maps
onto
.
Now, triangle ADE is formed by

Whereas triangle ABC is formed by

In other words, the coordinates of B and C can be obtained by multiplying by 2 the coordinates of D and E.
This means that you get ABC from ADE by dilating with center (0,0) and scale factor 2.
A
2 x 8+16 = 32 16 x 4 = 64
B
2 x 4 +8 = 16 8 x 8 = 64
C
4 x 8 + 32 = 64 2 x 32 = 64
1 l l l l 8 5 l l l l 40
2 l l l l 16 6 l l l l 48
3 l l l l 24 7 l l l l 56
4 l l l l 32 8 l l l l 64
The teacher has 64 or more pencils to give out.
<em>Hope this helps you choice your answer. :) </em>
I think it might be the 3rd one.
Someone correct me if I'm wrong please.
The answer is about 12.5 (when rounded to the nearest 10th).
This can be found using the distance formula between each point. One distance is 5, one is

and one is

. Added together gives you the answer above.