Angles:
An angle is either the figure formed by two rays starting from a common point or the
measure of such a figure.
Complimentary angles are two angles whose sum is .
Supplementary angles are two angles whose sum is .
Congruent angles are angles with the same angle measurement.
Vertical angles are angles at an intersection of two lines that are not adjacent to each other.
Interior angles are two angles that are in the interior of a polygon.
Exterior angles are two angles formed by the side of a polygon and an adjacent extends side or two angles on the outside of two parallel lines.
Pythagorean Theorem:
The Pythagorean Theorem is the sum of the squares for the legs of a right triangle equals the square of the hypotenuse, or.
30-60-90 Right Triangles:
The sides of 30-60-90 right triangles are in the ratios of .
45-45-90 Right Triangles:
The sides of 45-45-90 right triangles are in the ratios of .
Regular polygon:
A regular polygon is a geometric figure with three or more sides in which all interior angles are congruent.

Area:
Area is the size of a planar region or surface of a solid.

Volume:
Volume is the amount of space taken up by or enclosed by an object.

Geometry principles are covered in this tutorial. Understanding important geometric figures such as angles and their properties is important to the complete understanding of geometric relations.

Calculating areas and volumes of common geometric shapes is covered in this tutorial along with their properties. The discussion of special triangle such as 45-45-90 triangles is mentioned to introduce similarity principles.

Specific Tutorial Features:
• Step by step mathematical examples showing all details: Pythagorean theorem, 30-60-90 right triangles, 45-45-90 triangles, sum of interior angles, area of complex shapes.

Series Features:
• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
• Definition slides introduce terms as they are needed.
• Visual representation of concepts
• Animated examples—worked out step by step
• A concise summary is given at the conclusion of the tutorial.

Angles
  Definition of angles
  Angle relationships
  Vertical angles
  Interior and exterior angles
Geometric Shapes and Figures
   Right triangles
      Pythagorean Theorem
      30-60-90 right triangles
      45-45-60 right triangles
      45-45-90 right triangles
Regular polygons
Area and Volume
   Definition of area and volume 
   Area Formulas
  Volume Formulas