Type I - Parallels and Parallelograms

The first 200 words of this essay...

Parallels and Parallelograms Math Portfolio

Introduction:

This investigation aims at finding a relationship between the numbers of horizontal parallel lines and the transversals. When these lines intersect they form parallelograms. The aim of this investigation is examine and determine a general statement for transversals and horizontal lines and how they affect the number of parallelograms formed within the figure. A diagram of a parallelogram and a transversal is shown below.

These lines represent two transversals; however they are supposed to intersect with a horizontal parallel line.

These lines represent two horizontal parallel lines. They are intersected with a number of transversals.

When there is one horizontal line and two transversals, this makes one parallelogram, A1, as shown below:

This diagram shows that when there are two horizontal lines and two transversals, one parallelogram is formed. This parallelogram is called A1. However, when another transversal is added to the same diagram and same pair of horizontal lines, it looks like this:

This figure shows that when another transversal is added to a pair of horizontal parallel lines, three parallelograms are formed. Although the third parallelogram is not labeled, it is clear that