Course Description:
Videos on geometry. Basic understanding of Algebra I necessary. After this, you'll be ready for Trigonometry.
Lectures:
Lecture 1 - Introduction to Angles
What an angle is. Angles in a circle. Complementary and supplementary angles.
Lecture 2 - Angles Part 2
More on complementary and supplementary angles. Introduction to opposite angles.
Lecture 3 - Angles Part 3
Angles formed when a transversal intersects parallel lines.
Lecture 4 - Angles Formed Between Transversals and Parallel Lines
Angles of parallel lines.
Lecture 5 - Angles of Parallel Lines 2
Angles of parallel lines examples.
Lecture 6 - The Angle Game
Using what we know to solve for angles in the Angle Game.
Lecture 7 - Similar Triangles
Introduction to similar triangles.
Lecture 8 - Similar Triangles 2
More on similar triangles.
Lecture 9 - Area and Perimeter
Area of rectangles and triangles. Perimeter of rectangles.
Lecture 10 - Circles: Radius, Diameter, and Circumference
Understanding the relationship between the radius diameter and circumference of a circle.
Lecture 11 - Area of a Circle
Area of a circle and how it relates to radius and diameter.
Lecture 12 - The Pythagorean Theorem
Introduction to the Pythagorean Theorem.
Lecture 13 - The Pythagorean Theorem II
More Pythagorean Theorem examples. Introduction to 45-45-90 triangles.
Lecture 14 - 45-45-90 Triangles
Introduction to 45-45-90 Triangles.
Lecture 15 - Intro to 30-60-90 Triangles
A few more 45-45-90 examples and an introduction to 30-60-90 triangles.
Lecture 16 - 30-60-90 Triangles II
More examples using 30-60-90 triangles.
Lecture 17 - Heron's Formula
Using Heron's Formula to determine the area of a triangle while only knowing the lengths of the sides.
Lecture 18 - Part 1 of Proof of Heron's Formula
Part 1 of the proof of Heron's Formula.
Lecture 19 - Part 2 of Proof of Heron's Formula
Showing that the expression in part 1 is identical to Heron's Formula.
Lecture 20 - An Inscribed Angle is Half of a Central Angle that Subtends the Same Arc
Showing that an inscribed angle is half of a central angle that subtends the same arc.
Lecture 21 - Area of Inscribed Equilateral Triangle (Some Basic Trig Used) 2
Problem that requires us to figure out the area of an equilateral triangle inscribed in a circle (A little trigonometry used).
Lecture 22 - Right Triangles Inscribed in Circles
Proof showing that a triangle inscribed in a circle having a diameter as one side is a right triangle.
Lecture 23 - Area of Inscribed Equilateral Triangle (Some Basic Trig Used)
Area of Diagonal Generated Triangles of Rectangle are Equal.
Source: http://academicearth.org/courses/geometry
