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Instructor: Peter Roed
Phone - (989) 773-9473
Email: Proed@Shepherdschools.net - Preferred
Office location: Odyssey MS/HS
Office Hours: After school Monday through Thursday by appointment.
Questions: Please post questions about the course in the Q&A room under the helpful tools section. If it is a personal matter, please email me. I will typically respond within one business day of receiving your message. (Business days are Monday thru Friday, not including holidays)
Chapter 5 - Relationships Within Triangles
Chapter 5 Overview
This chapter will focus on presenting and proving relationships within a triangle that students can, in turn, use to prove relationships within other figures. Some of the relationships involve midsegments, angle bisectors, perpendicular bisectors, altitudes, medians, and inequalities. Students will learn how to form inverses and contrapositives, which prepares them to prove several theorems indirectly and provides another invaluable technique of proof.
Objectives:
- You will learn about geometric relationships within triangles.
- You will learn about three lines that pass through one point and find the four sets of such lines that exist for every triangle.
- You will learn about two other types of statements that are related to a conditional, as well as another type of reasoning—indirect reasoning.
- You will apply indirect reasoning to deduce information about inequalities in triangles.