Chp 5. Parallels
In semester one, which encompasses chapters 1 - 6, we develop two fundamental tool sets. One concerns congruence (the previous chapter) and the second parallel lines (this chapter). The parallel tools will give is the ability to prove the Triangle Angle Sum Theorem (section 6) and other related results. Moreover, when we combine the congruence and parallel tools, we'll be able to prove two new triangle congruence rules (Angle-Angle-Side and Hypotenuse-Leg).
5.1 The Triangle Exterior Angle Inequality
Lecture, PowerPoint, Worksheet
5.2 Parallel Lines and Transversals
Lecture, PowerPoint, Worksheet
5.3 The Parallel Tests
Lecture, PowerPoint, Worksheet
5.4 The Playfair Postulate and its Consequences
Lecture, PowerPoint, Worksheet
5.5 Problems and Proofs
Lecture, PowerPoint, Worksheet
5.6 The Triangle Angle Sum Theorem (TASTee) and its Corollaries
Lecture, PowerPoint, Worksheet
5.7 AAS and HL Congruence and Converse ITT
Lecture, PowerPoint, Worksheet
5.8 Two Truths and a Lie