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					              Curves and Polygons
A curve is a set of connected points in a plane.


A simple curve can be drawn without lifting the pencil from the paper and
without passing through any point twice.


A closed curve begins and ends at the same point.


A figure is convex is it can be drawn with a simple closed curve and for any two
points A and B inside the figure AB is completely inside the figure.


A polygon is any simple closed curve made up of straight line segments.
Polygons do not need to be convex
                     Different Polygons
triangle - 3 sides               quadrilateral - 4 sides    pentagon - 5 sides




hexagon - 6 sides             heptagon - 7 sides           octagon - 8 sides
                              (septagon)




 A nonagon has 9 sides and a decagon has 10 sides
                              Triangles
Classify by angle:




                            Obtuse triangle              Right triangle
Acute triangle
                            One angle is > 900           One angle = 900
all angles are < 900



Classify by sides:



Equilateral triangle             Isosceles triangle    Scalene triangle
All three sides are equal        two sides are equal   no sides are equal
   Exterior Angles of a Triangle
                                   5
                                       2




                         1                       3      6
                     4



The measure of an exterior angle of a triangle is equal to the sum of the measures
of the two opposite interior angles.
                      Quadrilaterals
Classify by sides:




Trapezoid               Parallelogram                 Rhombus
two sides parallel      opposite sides parallel       parallelogram with all
                        opposite sides equal          4 sides equal


Classify by angles:



    Rectangle                                     Square
    parallelogram with one right angle            rectangle with 4 equal sides
    (therefore all 4 angles equal 900)            or rhombus with right angles
                                    Circles
A circle is the set of points in a plane all the same distance from a given point (called the
center).

O - center
                                                                        Q
OQ - radius

PR - diameter
                                                      P
                                                                                R
PQ - chord                                                         O

PQ - secant                                                                     T

RT - tangent

				
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posted:8/4/2012
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