Friday, October 26, 2012
Math Journal 10/26/12
Discuss what you have learned about the angles formed when two parallel lines are cut by a transversal. Describe the special angle relationships that appear, and how they are related to each other. Last week, you learned about complementary and supplementary angles. Discuss how these angle relationships do or do not play a role within the parallel lines and transversal. Finally, where might you see parallel lines cut by transversals in the real-world? How might knowing the angles location to each other help you in these real-world scenarios?
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When two parallel lines are cut by a Transversal, they can be described as many things. There would be Obtuse angles, Acute angles, Supplementary angles, Alternate Interior & Exterior angles, Vertical angles, and Corresponding angles. Corresponding angles are in the same location as each other and supplementary angles add up to 180 Degrees which is made up of one acute and one obtuse angle. Alternate Interiors and Alternate Exteriors are opposite from each other. Corresponding angles are always congruent when a Transversal intersects parallel lines. When angles are congruent, they have the same measure. Vertical angles always equal the same amount as each other. Complementary angles don't play a role within parallel lines and transversal, because the parallel and transversal lines are all straight and complementary angles aren't. Supplementary angles are straight so that's why it plays a role in this. Acute angles are considered as complementary angles so it helps the obtuse angle make a supplementary angle. I can see transversals cutting through parallel lines in a parking lot at a supermarket; a line cuts through parallel lines on it. Knowing the angles location for each would help me in real-life scenarios since I have an understanding of how to interpret the angles and easily identify them.
ReplyDeleteIntroduce a topic and organize ideas - 3
ReplyDeleteDevelop the topic with evidence - 3
Use appropriate and varied transitions to create cohesion - 1
Use domain-specific vocabulary to explain the
topic - 3.5
Establish and maintain a formal style and objective tone - 3
Provide a conclusion - 2
Daniel, while you provided me with a great wealth of information as to what you know about this topic, your response felt like a long winded list of all the information. Take the time to use transition words to connect your thoughts. Try to organize the information in a way so that it naturally flows. You should begin using the prompt as a guide as opposed to a way to answer a series of questions. Use them to help you formulate and organize your thoughts. Don't be afraid to embellish on what you know was well.
15.5/24 = 80% (level 3)