Tuesday, April 10, 2018

Parallel Lines Cut by a Transversal

I have always had a problem with remembering the proper terminology in math. Especially when it comes to the angles made by parallel lines and a transversal line. In class, we were given a few handouts that we put in our notebooks and they help you to define all the angles. I don't remember receiving any type of handouts in elementary school regarding transversal lines. A color-coded, easy-to-read, diagram that we could keep in our notebooks would have been extremely helpful when I initially learned this. Below I have attached a photo of the diagram from my notebook. I coordinated the colors with my definitions so they would be easy to identify.
If a transversal line cuts through a set of parallel lines, then the pairs of corresponding angles are congruent. Alternate interior angles and alternate exterior angles are congruent as well. Of course, none of this makes sense without knowing the proper definitions.
A transversal line is a line that intersects two or more lines at different points.
Corresponding Angles are two angles that lie on the same side of the transversal in corresponding positions on different lines.
Alternate Interior Angles are angles that lie on opposite sides of the transversal inside the parallel lines.
Alternate Exterior Angles lie on opposite sides of the transversal outside the parallel lines.
Vertical Angles are two angles whose sides form opposite rays.
Consecutive Interior Angles or Same Side Interior Angles are angles that lie on the same side of the transversal between two lines. ** These two angles add up to 180° **
Same Side Exterior Angles are angles that are on the same side and they add up to 180°.
Supplementary Angles are two or more angles that add up to 180°. 
The sum of two Complementary Angles is 90°.

2 comments:

  1. Hi Tasia. Great blog post! I have a terrible time with math terminology as well. I love how your color coordinated the definitions in your post with the colors on the handout we were given in class. I also agree with you that these handouts really help when it comes to understanding the material better. They also make the best study tools because everything is right there in one spot. Awesome job on your definitions too! Easy to understand, especially when paired with the picture.

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  2. Tasia I like that you color codded the terms with the colors that they go with on the paper. The details and how you explain each term was really helpful. What helped me was the colors, seeing how each angle is different and which one matches with which. What a beautiful and detailed blog!

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