10/3 Math 444 Class

Day 3

Math 444, Monday, 10/3

Sponsor

Today's class is brought to you by the Kite.

Topics

Properties of Kites. Proof of SSS and ASA. Discussion of proof methods. Inequalities.

Class Schedule

Groups: Write proofs in class of a couple of kite conjectures.
Proof of kite properties using SAS but not yet SSS or ASA.
- Importance of perpendicular bisector locus theorem.
- Special case of non-convex.
Constructions that use kite properties
- Bisecting an angle
- Constructing a perpendicular through a point
Proof of ASA from SAS (read BB, Principle 6, p.72)
Proof of SSS from SAS and kites (read notes)

Assignments

New

Reading Assignment (due Wednesday 10/5)

Read BB Chapter 2, pp. 38-58. Principles 1-5 are the Axioms for BB. Since we are focusing on congruence right now rather than the general case of similariy, you can defer thinking about Principle 5 except for the ratio = 1.

Read proof of Principle 6, p. 72; this is ASA. Also read notes on Kites and SSS. For construction methods, see Chapter 6.

Due Today

Reading in BB, Chapter 1.

Assignment 1 (redo). Perpendicular bisector locus theorem.

Ongoing

Assignment 2 due Wednesday.10/5

Construction Portfolio #1 (Due Monday, 10/10)