What is the maximum number of different divisions of a hexagon if its all diagonals are drawn?

Drawing all 9 diagonals of a regular hexagon divides it into 24 regions, of which 6 are quadrilaterals, leaving 18 triangles.

How many maximum diagonals you can draw in a hexagonal polygon?

For example, in a hexagon, the total sides are 6. So, the total diagonals will be 6(6-3)/2 = 9.

How many diagonals can be formed in a hexagon?

9 diagonals
A hexagon has 9 diagonals. A diagonal of a polygon is a line segment that runs from one vertex of the polygon to another vertex, excluding the sides…

How many diagonals can be drawn by joining the vertices of a hexagon?

The diagonals are AE, AD, AC, BD, BE, BF, CE, CF and DF. By counting we can say that, the number of diagonals in hexagon = 9. So option D is the correct answer.

How many symmetry lines does a hexagon have?

six lines of symmetry
All internal angles are 120 degrees. A regular hexagon has six rotational symmetries (rotational symmetry of order six) and six reflection symmetries (six lines of symmetry), making up the dihedral group D6.

What are the different types of hexagons?

There are four different types of hexagons. These are regular hexagons, irregular hexagons, concave hexagons and convex hexagons. There are three properties that a regular hexagon must have: All sides of the hexagon have to be equal in length.

How many diagonals can you create in a Nonagon?

27 diagonals
Diagonals of nonagon There are 6 diagonals extending from each of the 9 vertices of the nonagon above creating a total of 27 diagonals.

How many diagonals are there in hexagon Brainly?

So a hexagon has 6*3/2 = 9 diagonals.

How many diagonals does a hexagon have 8?

(b) A regular hexagon has 9 diagonals. Here, diagonals are AD, AE, BD, BE, FC, FB, AC, EC and FD. (c) A triangle has no diagonal.

How many diagonals can be drawn by joining the vertices?

Thus, for each of the 8 vertices you can draw 5 diagonals and hence there can be 5 × 8 = 40 diagonals. But, each diagonal is counted twice, once from each of its ends. Thus, there are 20 diagonals in a regular octagon.

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