เส้นขนาน (Parallel lines)

Parallel lines

What is parallel lines?

Parallel lines  are two or more lines that never intersect.  Examples of parallel lines are all around us, in the two sides of this page and in the shelves of a bookcase.  When you see lines or structures that seem to run in the same direction, never cross one another, and are always the same distance apart, there’s a good chance that they are parallel.   In algebra, we use something more precise than appearance to recognize and create parallel lines. We use equations.

What is interior angle?

interior angle

1: the inner of the two angles formed where two sides of a polygon come       together 

2: any of the four angles formed in the area between a pair of parallel lines when a third line cuts them

What is Exterior angle?

ExteriorAngles

An exterior angle beta of a polygon is the angle formed externally between two adjacent sides. It is therefore equal to 2pi-alpha, where alpha is the corresponding internal angle between two adjacent sides (Zwillinger 1995, p. 270).

     ExteriorAnglesDelta

Consider the angles gamma_i formed between a side of a polygon and the extension of an adjacent side. Since there are two directions in which a side can be extended, there are two such angles at each vertex. However, since corresponding angles are opposite, they are also equal. Confusingly, a bisector of an angle gamma is known as an exterior angle bisector, while a bisector of an angle beta (which is simply a line oriented in the opposite direction as the interior angle bisector) is not given any special name. The sum of the angles gamma_i in a convex polygon is equal to 2pi radians (360 degrees), since this corresponds to one complete rotation of the polygon.

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