2.6 Algebraic Proofs - 2.7 Segment Proofs - 2.8 Angle ... · 2.6 Algebraic Proofs 2.7 Segment...

17
2.6 Algebraic Proofs 2.7 Segment Proofs 2.8 Angle Proofs.notebook 1 September 12, 2013 "Do Now" Ms. Stalvey has run the Cooper River Bridge Run in Charleston, SC, for two years - both times in just under an hour! Let's say she starts the Bridge Run at (2, 2) and finishes at (-3, -2). How long did she run (about how long is the Bridge Run?)

Transcript of 2.6 Algebraic Proofs - 2.7 Segment Proofs - 2.8 Angle ... · 2.6 Algebraic Proofs 2.7 Segment...

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

1

September 12, 2013

"Do Now"

Ms. Stalvey has run the Cooper River Bridge Run in Charleston, SC, for two years

- both times in just under an hour!

Let's say she starts the Bridge Run at (2, 2) and finishes at (-3, -2).

How long did she run(about how long is the Bridge Run?)

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

2

September 12, 2013

Last Night's Homework

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

3

September 12, 2013

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

4

September 12, 2013

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

5

September 12, 2013

Quizzie Poo

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

6

September 12, 2013

1234

Write a paragraph proof for:

Given: 2 and  4 are vertical angles  

Prove:     2      4 

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

7

September 12, 2013

Unit 3: Reasoning and Proof2.6, 2.7, 2.8Algebraic Proofs, Segment Proofs, Angle Proofs

NameGeometry 4B

Date

AdditionProperty

of Equality

SubtractionProperty

of Equality

MultiplicationProperty

of EqualityDivisionProperty

of Equality

Properties true for any real numbers a, b, and c

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

8

September 12, 2013

ReflexiveProperty

of Equality

SymmetricProperty

of Equality

TransitiveProperty

of Equality

SubstitutionProperty

of Equality

DistributiveProperty

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

9

September 12, 2013

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

10

September 12, 2013

1. Solve for x and justify each step.

Given: m<AOC = 139

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

11

September 12, 2013

2. Fill in each missing reason.

Given: LM bisects <KLN.

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

12

September 12, 2013

3. Fill in the reason that justifies each step.

Solve for x.

4. Fill in the reason that justifies each step.

Solve for n.

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

13

September 12, 2013

Another Type (Format) of Proof is a Two - Column Proof

Statements Reasons

2x + 5 = 11

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

14

September 12, 2013

12

3

Given: <1 and <2 are supplementary <3 and <2 are supplementary

Prove: <1 <3

Two Column ProofStatements Reasons

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

15

September 12, 2013

Paragraph Proof

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

16

September 12, 2013

ReflexivePropertyof Angle

Congruence

SymmetricPropertyof Angle

Congruence

TransitiveProperty

of Equality

2.6 Algebraic Proofs ­ 2.7 Segment Proofs ­ 2.8 Angle Proofs.notebook

17

September 12, 2013

Proofs Project