Verify that the hexagon formed by A=(0,0), B=(2,1), C=(3,3), D=(2,5), E= (0,4), and F=(-1, 2) is equilateral. Is it also equiangular?

I have verified that it is equilateral. How can I tell if it is equiangular? Just by putting it on a coordinate plane and looking at it?

Question

Verify that the hexagon formed by A=(0,0), B=(2,1), C=(3,3), D=(2,5), E= (0,4), and F=(-1, 2) is equilateral. Is it also equiangular? 

I have verified that it is equilateral. How can I tell if it is equiangular? Just by putting it on a coordinate plane and looking at it?

mathslover · Answer

can you draw the rough diagram of "hexagon" given

anonymous · Answer

I'm going to attach it....one minute please.

mathslover · Answer

This is what I drew . 

Let me see yours

anonymous · Answer

attachment

mathslover · Answer

Note : my hexagon is not real and hence it may be weird as per appearance but .... your's one is better ... :(

mathslover · Answer

Are you sure that it is equidistant ? did u check it with distance formula?

anonymous · Answer

Yup.

anonymous · Answer

positive. The distance formula shows that they all equal $$\sqrt{5}$$

mathslover · Answer

ok so it is regular hexagon right?

anonymous · Answer

uh.....i think so....I'm not really sure.

mathslover · Answer

It is since all sides are equal and hence all angles will also be equal

anonymous · Answer

Oh....okay! Thanks!

mathslover · Answer

http://en.wikipedia.org/wiki/Hexagon jump to regular hexagon for more info... my pleasure