Similarly, 10 triangles can also be drawn in a concave dodecagon. This series of triangles can be used to find the sum of the interior angles of the dodecagon.ĭiagonals are drawn from vertex A in the convex dodecagon below, forming 10 triangles. Dodecagon anglesĭodecagons can be broken into a series of triangles by diagonals drawn from its vertices. The 10 triangles formed by the diagonals of a regular dodecagon are congruent.Ī dodecagon is made up of sides, angles, and vertices it has 12 of each.The exterior angles of a regular dodecagon each measure 30°.The interior angles of a regular dodecagon each measure 150°.All dodecagons have diagonals that divide it into 10 triangles drawn from its vertices.All dodecagons have exterior angles that sum to 360°.All dodecagons have interior angles that sum to 1800°.All dodecagons have 12 sides, 12 vertices, and 12 angles.Properties of all dodecagonsĪll dodecagons have the following properties: The figure below shows a concave dodecagon example.īelow are some properties of all dodecagons as well as properties of a regular dodecagon. As a result, it is possible to draw a line segment between at least one pair of vertices such that the line segment lies outside of the boundaries of the dodecagon. The figure below shows a convex dodecagon example (one that is not a regular dodecagon).Ī concave dodecagon is one in which at least one interior angle measures greater than 180°. As a result, it is not possible to draw any line segment between the vertices of a convex dodecagon such that the line segment passes outside of the dodecagon. The figure below shows an irregular dodecagon example.Ī convex dodecagon is a dodecagon in which all interior angles measure less than 180°. The figure below shows a regular dodecagon example.Īn irregular dodecagon is any dodecagon that has at least one side (and therefore angle) that has a different measure. It is also always convex (described below). A regular dodecagon has 12 equal sides and interior angles. Regular dodecagonĪ regular dodecagon is one in which all sides and interior angles have the same measure. The figure below shows some dodecagon examples:ĭodecagons are categorized as regular or irregular and concave or convex. The term dodecagon is derived from Greek, where "dodeka" indicates 12 (do = two, deka = 10) and gon means angle or corner. What is a dodecagonĪ dodecagon is a 12-sided two-dimensional plane figure. Home / geometry / shape / dodecagon DodecagonĪ dodecagon is a polygon with 12 sides and 12 vertices.
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