9/30 Math 444 Class

Math 444, Friday, 9/30

Sponsor

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

Topics

Isosceles Triangle propertiess. Perpendicular Bisector theorem. Properties of Kites.

Class Schedule

Lecture: Proof of properties of Isosceles Triangles.
How do you prove "if and only if"? How do you prove that the "set of ... " is a certain geometric object.
Group Discussion: Discuss proof of Assignment 1 problem on Perpendicular Bisectors. Write consensus proof. Important ideas:
- "If and only if" in logic connects to "set of" in geometry.
Group Kite Investigation: Discover and conjecture basic properties of Kites. Link to detailed instructions.
- Think about this over the weekend. Each group will write proofs of a couple of conjectures in class Monday.
- Note how kite properties are uses in construction methods with straightedge and compass.

Note Links: Axiomatic Method | Axiom List | Properties of Isosceles Triangles

Assignments

New

Reading Assignment (due Monday 10/3)

Read B&B, Chapter 1 and Principles 1-5 in Chapter 2.

Assignment 1 (second draft) due Monday 10/3)

Assignment 2 (due Wednesday, 10/5)

Construction Portfolio #1 (pdf file) (due Monday 10/10)

Due Today

Assignment 1

Ongoing

Assignment 1.