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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.
Rapid Study Kit for "Title":
Flash Movie
Flash Game
Flash Card
Core Concept Tutorial
Problem Solving Drill
Review Cheat Sheet
"Title" Tutorial Summary :
This tutorial deals with the most important geometrical concepts and their applications. Figures and relations used in geometry are covered so a deeper understanding of the ideals could be accomplished.
Area and volume principles are discussed as they are applied to triangles and circles. Similarity principles are introduced with the help of 45-45-90 and 30-60-90 right triangles. Area and volume formulas are exhibited with the help of examples.
Tutorial Features:
Specific Tutorial Features:
Step by step mathematical examples showing all the steps covering the Pythagorean theorem, 30-60-90 right triangles, 45-45-90 triangles, sum of interior angles, and 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.
"Title" Topic List:
Angles Angles and their definition Relationship of angles and their use 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
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