TLQP Polygons

A simple curve is a curve that does not intersect itself.A closed curve is a curve that starts and ends at the same point.

A set is convex if the line segment connecting any two points of the set lies in the set.Otherwise it is called nonconvex.

A polygon is a simple closed curve that is the union of line segments. (poly = many; gon = angle)A polygonal region is the union of a polygon and its interior.The sides of the polygon are its line segments.The vertices are the endpoints of the line segments.Adjacent sides share a common vertex.Adjacent vertices share a common side.

VocabularyAn equiangular polygon is a polygon whose angles all have the same size.An equilateral polygon is a polygon whose sides all have the same length.A regular polygon is a polygon that is both equiangular and equilateral.

(Typical of mathematical system - define, define then use to define a new concept)

Triangles:Acute triangle – each angle less than Right triangle – has an angle that is

Obtuse triangle - has an angle that is greater than

Scalene triangle – all sides have different lengthsIsosceles triangle – two sides have the same lengthEquilateral triangle – all sides have the same length

Quadrilaterals - many varieties