Polygons

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The goal of this mindmap on polygons is to inform people of how many different types of polygons there are. I want to show the differences and similarites of each type of polygon.

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What Makes a Polygon?

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A polygon is a plane figure that is connected all the way around. It has a finite amount of straight line segments. It is a two dimensional object.If it is open in some way, for example two lines do not close or connect, it is not a polygon.

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Angels

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A way of classifying polygons

Sides

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A way of classifying a polygon

Other Styles of Polygons

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If all of the sides are equal then it is a regular polygon as well as all of the angles are equal.If they lengths of the sides differ and the angles differ then it is an irregular polygon.

Pentagon

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A pentagon has five sides and five angles.

Hexagon

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A hexagon has six sides and six angles.

Heptagon

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A heptagon has seven sides and seven angles.

Octagon

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An octagon has eight sides and eight angles.

Nonagon

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A nonagon has nine sides and nine angles.

Decagon

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A decagon has ten sides and ten angles.

Types of Polygons

Simple or Complex

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A simple polygon has only one boundary and it doesn't intersect or cross over itself.A complex polygon is the opposite because it intersects itself.

Concave or Convex

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A convex polygon has no angles pointing inwards. No internal angles are less than 180 degrees.If the internal angles are greater than 180 degrees then it is concave. A good way to remember it is that caves go inward and concave has the word cave it in.

Regular or Irregular

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It is regular if all the sides and angles are equal to eachother. If the sides and angles differ then they are not regular, they are irregular.

Angles

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There are three different types of angles involved in making quadrilaterals and triangles. They are: actue, right, and obtuse.

Acute

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All angles are less than 90 degrees.

Right

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A right angle has an angle 90 degrees

Obtuse

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An obtuse angle has an angel above 180 degress

Most common findings

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Triangles

Quadrilaterals

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Quadrilaterals

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Quadrilaterals have four sides, are coplanar, two sets of diagonals, and all of the sums of the interior angels equal 360 degrees.

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Parallelogram

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A parallelogram has two parallel pairs of opposite sides.

Rectangle

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A rectangle has two pairs of opposite sides parallel and four right angles.It is also classified as a pararllelogram.

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Rhombus

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A rhombus is a parallelogram with four equal sides.

Square

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A square has two pairs of parallel sides, four right angles, and all four sides are equal.It is also classified as a parallelogram and rectangle.

Trapezoids

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A trapezoid has one pair of parallel sides.

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Kites

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A kite has two pairs of adjacent sides that are equal.

Triangles

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There are many different types of triangles. There are obtuse triangles, eqilarteral trianges, isoceles trianges, acute triangles, and many more.

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Equilateral

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An equilateral triangle has three equal sides and three equal angles. The angels are always 60 degrees.

Isosceles

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An isosceles triangle has two equal sides and two equal angles.

Scalene

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A scalene triangle have so equal sides and no equal angles.