When constructing inscribed polygons, how can you be sure the figure inscribed is a regular polygon?

Check the distance between the angles with a straightedge.

Check the length of each side of the polygon with a compass.

See if the diameter is the same as the length of the sides with a compass.

There is no way to ensure you have constructed a regular polygon.

Question

When constructing inscribed polygons, how can you be sure the figure inscribed is a regular polygon?

Check the distance between the angles with a straightedge. 

Check the length of each side of the polygon with a compass. 

See if the diameter is the same as the length of the sides with a compass. 

There is no way to ensure you have constructed a regular polygon.

ganeshie8 · Answer

wat do you think ? :)

anonymous · Answer

i dont know . this is hard

ganeshie8 · Answer

okay, lets see one by one 

Check the distance between the angles with a straightedge.

ganeshie8 · Answer

can we check distance between angles ? wat does that even mean. ? makes no sense so this is not the one.
Next

ganeshie8 · Answer

Check the length of each side of the polygon with a compass. 


we can do this right ? we always use compass to compare two distances, this is allowed in  constructions. so we can simply open the compass to width of one side, and check that all sides are of same width or not. this is perfectly legitimate. So this is the Correct option.

anonymous · Answer

thanks :)

ganeshie8 · Answer

np :) yu wlcme !

znappydooz · Answer

This was correct ^_^
Thanks so much!