### Definition

A polygon is a closeup of the door geometric number whose sides are simple line segments. Each edge of a polygon where 2 sides crossing is referred to as a *vertex* of the polygon.

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For example, a triangle is a polygon v 3 sides. Over there are also three vertices, one at every point. This is the easiest polygon, since you can"t build one with just 1 or 2 political parties (try it!).

### Classification that Polygons

A polygon might be determined by the variety of sides.

(1) A polygon through 4 political parties is referred to as a quadrilateral.

(2) A polygon the 5 sides is called a *pentagon*.

A polygon of 8 sides is referred to as an *octagon*.

A polygon that 10 political parties is dubbed a *decagon*.

A polygon that 12 political parties is dubbed a *dodecagon*.

NOTE: There space many more polygons, but the ones noted here are some of the many popular and also most regularly taught in geometry classes. Polygons with more than 12 sides space usually described as n-gons. As in, a polygon with 56 political parties is a 56-gon.

### Other state

In one *equiangular polygon*, each angle has the same degree measure. A square is an example of one equiangular polygon since each of the 4 angles form 90 degrees. The same can be said around a rectangle.

In an *equilateral* polygon, each side has the very same length. In triangle alphabet below, every sides space 12 feet make triangle alphabet equilateral.

A *regular* polygon is BOTH equiangular and also equilateral. A square is a continual polygon since all sides have the very same length and also all angle measure the same: 90 degrees.

### Classification of Triangles

Triangles might be divide by

(A) their sides, or

(B) their angles

A scalene triangle has actually 3 different length sides.

an isosceles triangle has two equal sides and one side that is not equal.

An equilateral triangle has 3 equal sides.

In an acute triangle, every one of the angles will certainly measure less than 90 degrees.

A appropriate triangle will constantly have one 90-degree angle.

an obtuse triangle will constantly have one edge whose measure up is better than 90 degrees however at the same time much less than 180 degrees.

### Median and Altitude (Height)

A typical of a triangle is a segment drawn from a crest of the triangle come the midpoint of the opposite side.

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an altitude or height of a triangle is a segment attracted from a crest of the triangle perpendicular to the opposite next or come the opposite side extended.

### Distance

The word distance in geometry is always understood together the shortest path. The distance between a point and a heat is the length of the perpendicular segment drawn from a allude that is not on the line to a point on the line. The distance from A to heat BC below is 6, because that is the size of the altitude