Geometry notes on 2.5, given on 11/3 in period 4.

1. G­2.5 Notes ­ p4 November 03, 2009
Agenda date: _______________ period:________
Vocabulary Quiz
§
Lesson ~ 2.5 ­ Proving Angles Congruent
place this assignment in the top left­hand
box on "October" (the 1st box under
Monday).
Homework ~ 2.5: #1­35
OW
(Wednesday)
RR
MO
TO
§2.5: Proving Angles ≅
Complementary Angles
Supplementary Angles
28 62
Adjacent Angles
62
Complementary Angles Vertical Angles
Supplementary Angles
118
Linear Pair
3
Vertical Angles
1 2
4
Adjacent Angles
2
1
1
Complementary Angles
2
Supplementary Angles
Linear Pair
Angle Pair Relationships:

2. G­2.5 Notes ­ p4 November 03, 2009
ex (1) Identify the Angle Pairs
2
1 3
5 4
Thm 2.1: Vertical Angle Thm.
Vertical angles 2
1 3
are congruent. 4
Proof of Thm. 2.1:
Given: 1& 3 are vertical angles.
Prove: 1≅ 3
(paragraph proof)

3. G­2.5 Notes ­ p4 November 03, 2009
Thm 2.2: Congruent Supplements Thm.
If 2 angles are supplementary
to the same angle, then they 2
are congruent. 1 3
4
Proof of Thm. 2.2
2
Given: Angles 1 & 2 are supplementary 1
Angles 2 & 3 are supplementary
3
Prove: Angle 1 is congruent to angle 3.
(paragraph proof)
Thm 2.3: Congruent Complements Thm.
If 2 angles are complementary 3
to the same angle, then the 1 2
2 angles are congruent.
Thm 2.4: "Right Angle" Thm.
All right angles are congruent.
Thm 2.5: "≅ Right Angle" Thm.
If 2 angles are
1 2
congruent & supplementary,
then each is a right angle. 3 4

4. G­2.5 Notes ­ p4 November 03, 2009
Ch. 2 Assessment
Assessment
Thursday 11/5 ⇒ Begin Ch. 3
Tuesday 11/3 ⇒ 2.5 Notes
Wednesday 11/4 ⇒ Review of Ch. 2 Material
Take­home Assessment

5. Attachments
G_2.4 HW.PDF
G­Supplement to Notes­Nov3.doc