3-3: parallel lines angles unit 3: geometry english casbarro

16
3-3: Parallel Lines & 3-3: Parallel Lines & Angles Angles Unit 3: Geometry Unit 3: Geometry English Casbarro English Casbarro

Upload: beatrice-gibbs

Post on 18-Jan-2018

229 views

Category:

Documents


0 download

DESCRIPTION

It is only when the lines are parallel that there are special congruent angles formed. But the angle names remain the same whether they are parallel or not.

TRANSCRIPT

Page 1: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro

3-3: Parallel Lines & Angles3-3: Parallel Lines & AnglesUnit 3: GeometryUnit 3: GeometryEnglish CasbarroEnglish Casbarro

Page 2: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro
Page 3: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro

It is only when the lines are parallel that there are special congruent angles formed. But the angle names remain the same whether they are parallel or not.

Page 4: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro
Page 5: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro

You use the Same-Side InteriorAngles Postulateto prove the other theorems.

Page 6: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro
Page 7: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro
Page 8: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro
Page 9: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro

Statements Reasons

Page 10: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro
Page 11: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro
Page 12: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro

Notice that this looks different from the other proofs you have done. This is called a flow proof. You list the things that you know, and use arrows to show where the logical progression goes.

Page 13: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro
Page 14: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro
Page 15: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro
Page 16: 3-3: Parallel Lines  Angles Unit 3: Geometry English Casbarro

Turn in the following problemsComplete the following proof:Given: l || mProve:

1.

2. Write a proof (2-column or paragraph) of the Same-Side Interior Angles Theorem. Given: r || s Prove: