 DO NOW: Read & answer the question below.
 Leonhard Euler (1707 – 1783)
 Swiss mathematician and physicist
 Discoveries in infinitesimal calculus and graph
theory
f (x)
 Introduced function notation:
 Numerical approximations of numbers:
2
 “Euler approximations” - Example: Estimate
 Logic: Euler diagrams

 Extensive bibliography
 Elements of Algebra – discusses
 the nature of
numbers, formulae, and solutions of polynomial
equations
 <http://en.wikipedia.org/wiki/Leonhard_Euler#Mathematical_notatio
n
Geometry
2010 – 2011
1.) A _____________ is a statement that is
accepted as true without proof.
2.) A _____________ is a statement that has
been proven to be true deductively.
3.) Given a segment with points A, B, C, and D
arranged as shown, the
Overlapping Segments Theorem states:
(a) If AB = CD, then AC = BD
(b) If AC = BD, then AB = CD.
4.) Prove part (a) of the Overlapping Segments
Theorem.
Statements
Reasons
AB  CD

AOD
 If m∠AOB = m∠COD, then m∠AOC = m∠BOD
(a)
(b) If m∠AOC = m∠BOD, then m∠AOB = m∠COD.
4.) Prove part (b) of the Overlapping Angles
Theorem.
Statements
Reasons
8.) In the diagram below, m∠AOB = m∠COD.
If m∠AOC = (53 + 4x)°, m∠BOC = (9x – 1)°,
and m∠COD = (33 + 2x)°, find m∠AOB.
 Page 111
 #2, 4, 7 – 20
 ALL PROOFS MUST BE WRITTEN OUT IN
FULL
 DO NOW:
 Get out 2.2 (Part 1) homework
 Put solutions up on board
 Thoroughly discuss each homework problem
 Work on proof you have to complete tonight
 Page 111
 #21 – 46
 ALL PROOFS MUST BE WRITTEN OUT IN
FULL
 DO NOW:
 Get out 2.2 (Part 2) homework
 Put solutions up on board
 Thoroughly discuss each homework problem
 Work on proof you have to complete tonight
 Page 111
 #47 – 53 (YOU PICK TWO)
 #54 – 60
 Page 133
 #9 – 17
 ALL PROOFS MUST BE WRITTEN OUT IN
FULL