 34 lessons
 0 quizzes
 7 week duration

Unit 1: Linear Systems

Unit 2: Analytic Geometry

Unit 3: Geometric Properties

Unit 4: Quadratic Relations
Most relations that you have studied in mathematics have been linear. However, many nonlinear also exist in real life.

Unit 5: Quadratic Expressions

Unit 6: Quadratic Equations

Unit 7: Trigonometry
Verify Properties of Quadrilaterals
A quadrilateral is a polygon (i.e. 2D shape) with four edges (or sides) and four vertices or corners. Examples of quadrilaterals are illustrated below.
In this section we’ll focus on parallelograms and trapezoids. The videos below will prove the following three things:
 The diagonals of a parallelogram bisect each other.
 Joining the midpoints of adjacent sides of any quadrilateral forms a parallelogram.
 The line segment joining the midpoints of the nonparallel sides of a trapezoid is parallel to the parallel sides and has a length equal to the mean of the lengths of the parallel sides.
The next video will show how the length of the line segment joining the midpoints of the nonparallel sides is equal to the average lengths of the parallel sides.
The final video will show you how to prove that the diagonals of a parallelogram, namely a rhombus, bisect each other at 90°. Remember that a diagonal is a line segment connecting nonadjacent vertices. Let’s take a look: