Let us think of education as the means of developing our greatest abilities, because in each of us there is a private hope and dream which, fulfilled, can be translated into benefit for everyone and greater strength for our nation. John F. Kennedy U.S. President

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Geometry

 more geometry

Geometry is "earth measure."  Please note that this is a discussion of classical ideas in geometry.  It has its formal roots back with Euclid of Greece.  There are many more modern discussions that are mathematically useful and advanced students will have chances to see them later.

vocabulary

point: a location (no thickness nor any other measure of size)

space: the set of all points

plane: a flat slice of space, "2-D"

line: a straight path of points extending endlessly in two (opposite) directions

segment: a part of a line, with two endpoints that limit its length

ray: a straight path of points extending endlessly in one direction

angle: formed by the intersection of two rays, that point is called the vertex

vertex: the point of intersection where an angle is formed

polygon: a closed planar figure with segments for sides

 

 

 

Polygons

A polygon is a closed geometric figure with segments for sides.  That means that there is no unconnected opening and that all sections are straight edges.  A convex polygon is one that does not "cave in."  You can connect any two points with a segment without going outside of the polygon.  A concave polygon is one that does have a place where you can't connect two interior points with a segment without going outside the polygon.  Most of our discussion will be about convex polygons.

 

 

 

 

 

Text Box: octagon

 

 

 

 

 

 

Text Box: ellipse
Not polygons

 

Text Box: open
Text Box: ?
Text Box: circle
Text Box: concave dodecagon
Text Box: rhombus
Text Box: isosceles triangle
Text Box: hexagon
Text Box: pentagon
Text Box: parallelogram
Text Box: equilateral triangle
Text Box: square
Text Box: rectangle
Text Box: segment
Text Box: ray
Text Box: line