If you rotate a 20-sided regular polygon by 360/20 degrees, the result will look the same as the original polygon. Any additional rotation will be a multiple of this number.
18, 36, 54, 72, 90, 108, 126 and 144 degrees.
A dodecagon can be drawn by drawing a polygon with 12 sides and 12 angles. All sides and angles have to be equal. * * * * * The first sentence is correct, the second is utter nonsense. There is no reason for a dodecagon - or a polygon with any number of sides - to have equal sides or equal angles.
On March 30, 1796, Gauss discovered that it was possible to construct a regular polygon with seventeen sides using a straightedge and compass. This was the first new construction of a regular polygon since the time of Euclid. The discovery, made when Gauss was only eighteen years old, persuaded him to make mathematics his career.
The angles formed by one congruent side adjacent to the side not congrent to the first side
First of all, it is spelled perpindicular, not perpandiculer. Secondly, perpindicular lines are two lies that cross forming right angles, or 90 degree angles. For example, the two lines forming a plus sign are perpindicular.
The second angle must be 2 x (90 - 77) ie 26o, so the other is 64o
First of all, a decagon is a polygon with 10 sides. A regular decagon is a decagon in which all of the sides and angles are equal. Since there are 360o in a complete rotation, you can simply divide 360o by 10. 360o / 10 = 36o
The answers are No and No. In the first case, a rhombus, and in the second, a rectangle are examples of quadrilaterals which satisfy the congruence requirements but neither is a regular polygon.
No, because there is no such thing as a "rhomus". Furthermore, a rhombus is not a regular polygon either. A regular polygon must have all its sides of equal length and all its angles of equal measure. A rhombus meets the first requirement but not the second and so is not regular.
A rhombus is not a regular quadrilateral because although it has 4 equal sides it does not have 4 equal angles.
Such a polygon is said to be a "regular" polygon, meaning that all its sides are equal and all its angles are equal, so we have; equilateral triangle; square; pentagon; hexagon; heptagon;octagon;nonagon;decagon - to give but the first nine possibilities. The next one would have 11 equal sides and angles, and I don't know its name.
yes* * * * *No! A polygon is regular if and only ifall its sides are of equal length andall its angles are of equal measure.Although a rhombus satisfies the first requirement, it does not satisfy the second. The only regular quadrilateral is a square.
Since a regular polygon is a series of straight lines of equal length that eventually join up with the start of the first line, this means that the sum of the angles between each line must sum to 360 degrees. If there are 6 sides in the polygon then the angle between each line is 360 degrees divided by 6 sides = 60 degrees.This kind of regular polygon with 6 sides of equal length has a special name, it is called a hexagon.
Not normally * * * * * Not true. A polygon is regular if and only if all sides are of equal length and all its angles are of equal measure. A rhombus satisfies the first requirement but, unless it is a square, it does not satisfy the second. So it cannot be regular.
I'd have to see one first. So far, no polygon I've ever seen had more sides than angles.
It is a regular hexagon, a 6-sided polygon.The formula for calculating the identical interior angles of a regular n-sided polygon is 180(n-2)/nThe equivalent formula for each interior angle is 180 - (360/n) where 360/n is the measurement of any exterior angle, supplementary to the paired interior angle.180-120 = 360/n60 = 360/nn = 6---Sums of interior angles for the first 6 polygons:triangle = 180quadrilateral = 360pentagon = 540hexagon = 720heptagon = 900octagon = 1080
All you can say about it is that it's "equiangular" ... a big word that means all of its angles measure the same size. At first, one might think that a polygon with all angles equal is "regular" ... that if all of its angles are equal, then its sides must also be all of the same length. But that's only true of a triangle, and doesn't hold for polygons with more than three sides. Example: A rectangle has all angles equal, but not its sides.
A dodecagon can be drawn by drawing a polygon with 12 sides and 12 angles. All sides and angles have to be equal. * * * * * The first sentence is correct, the second is utter nonsense. There is no reason for a dodecagon - or a polygon with any number of sides - to have equal sides or equal angles.