Parallel, Complementary, Supplementary, & all the Good Stuff!

On Wednesday our main focus were Parallel lines and it's Transversal. We all are familiar with Parallel lines, two lines that never touch/intercept with one another and must have an equal distance between them.

Now the word Transversal, I know you must be thinking, "What is a Transversal?!" Well a Transversal is just a line that crosses through the parallel lines. This creates individual spaces within the parallel lines, which are important in math.

Since there is a transversal, we now know that the parallel lines create individual angles. These angles make up specific areas that are located within the parallel lines. Such as: Corresponding Angles, Alternate Interior and Exterior Angles, and Vertical Angles.

Corresponding Angles: Would be angle 1 and angle 5, because they are on the same side of the transverasl and are located on the same spot of each parallel line.
Alternate Interior Angles: Would be angle 3 and angle 6, because each are located on opposite sides of the transversal and are both on the inside of the parallel lines.
Alternate Exterior Angles: Would be angle 2 and angle 7, because they are located on opposite sides of the transversal and are on the outside of the parallel lines.
Vertical Angles: Would be angle 2 and angle 3, because they are angles that were created when two lines intercepted.
Supplementary Angles: Are angles that add up to 180 degrees.

Complementary Angles: Are angles that add up to 90 degrees.