A regular hexagon is divided up into six equilateral triangles. How many quadrilaterals are there in the...?

Question

A regular hexagon is divided up into six equilateral triangles. How many quadrilaterals are there in the hexagon. You are only allowed to use the outline of the edge of each triangle.

The person to give me the best answer along with a valid reason to back it up, will get 10 points.

A- 6
B- 8
C- 10
D- 12
E- 14

Answer 1

Six.

Start from a vertex of the hexagon, go to the middle, then go two vertices away from where you started, then back along the edge of the hexagon. One starting at each vertex. These are the only six.

Answer 2

in case you triangulate a ordinary polygon into triangles which have a aspect of the polygon as one area and the middle of the polygon as a vertex, the triangles will be isoceles triangles, because a minimum of two aspects will always be equivalent. The universal angles in any polygon upload as a lot as 360 levels. A hexagon has 6 universal angles. In a ordinary hexagon, they have a similar degree, so each is 360/6 = 60 levels. An isoceles triangle with one attitude of 60 levels may have all angles 60 levels and therefore be equilateral. note: because there are different procedures to triangulate a polygon, that's more beneficial suited to assert that a ordinary hexagon may be divided into 6 equilateral triangles, particularly than retaining that's split into 6 equilateral triangles.

Answer 3

4 diamonds in a triangle
diamond = quadrilateral

4x6=24