Transcript Flippin Proofs Parallel Lines

Flippin’ Proofs: Parallel Lines
Objectives:
1. To create a flipbook of proofs using the
Converses of the Corresponding Angles
Theorem, the Alternate Interior Angles
Theorem, the Alternate Exterior Angles
Theorem, and the Same-Side Interior
Angles Postulate
You will be able to create a flipbook…
Making a Flipbook!
For this project,
you will need to
create a flipbook
for all of your
proofs. To make
this, offset three
pieces of paper
by half an inch
each.
Making a Flipbook!
Now fold the three
sheets so that all
the papers overlap
by half an inch.
Add a crease half an
inch from the top
and then staple
the whole mess
together.
Making a Flipbook!
Pages:
1. Title Page
2. Summary of how to
prove lines parallel
3. Proof of one:
–
–
–
–
Converse of
Corresponding Angles
Theorem
Converse of Alternate
Interior Angles Theorem
Converse of Alternate
Exterior Angles Theorem
Converse of Same-Side
Interior Angles Postulate
Title Page
Ways to Prove Lines Parallel
Proof of a Converse (Pick One)
Making a Flipbook!
Pages:
4. Easy Proof
–
Complete an easy
proof that uses one of
the theorems/postulate
that you did not prove
on page 3
5. Medium Proof
–
Complete a medium
proof that uses one of
the theorems/postulate
that you did not prove
on page 3 or 4
Title Page
Ways to Prove Lines Parallel
Proof of a Converse (Pick One)
Easy Proof (Another Converse)
Medium Proof (Another Converse)
Making a Flipbook!
Pages:
6. Hard Proof
–
Complete a hard proof
that uses the last
theorem/postulate that
you did not prove on
page 3, 4, or 5
Title Page
Ways to Prove Lines Parallel
Proof of a Converse (Pick One)
Easy Proof (Another Converse)
Medium Proof (Another Converse)
Hard Proof (Last Converse)
Flipbook: An Example
For example:
1. Title
2. How to prove
lines parallel
3. Proof of a
Converse
4. Easy Proof
5. Medium Proof
6. Hard Proof
Flippin’ Proofs!
Ways to Prove Lines Parallel
Converse of Alt. Interior 
Converse of Corresponding 
Converse of Alt. Exterior 
Converse of Same-Side Int. 
Summary of How… Page
On the Summary of how to prove lines parallel
page, you will need to do just that. Detail the
various ways that you have learned that
enable you to show that two lines are parallel.
Include any appropriate diagrams. I’m looking
for four specific ways (1 point each). This
section will be worth up to 8 points, so you will
have to detail reasons beyond what you have
yet learned (research required).
Proof of a Converse Page
On this page, you will have to choose one of
the four converses to prove. Things to
include:
• Theorem
• Given/Prove Statements (1 point)
• Diagram (1 point)
• Two-column Proof (2 points)
Easy, Medium, Hard Proof Pages
For each of these pages, you need to
choose one of the proofs to complete that
uses the three theorems/postulate you did
not prove on page 3.
This means you will have to choose your
proofs wisely since each of the converses
need to be represented once. This will
also make copying from a friend obvious
since there are so many choices to make.
For Example
Let’s say you choose to prove the Converse
of the Alternate Interior Angles Theorem
for page 3. Cross that one off your list,
since you can’t use it any more.
Page 6 Converse of Corresponding Angles Postulate
Page 3 Converse of Alternate Interior Angles Theorem
Page 5 Converse of Alternate Exterior Angles Theorem
Page 4 Converse of Same-Side Interior Angles Postulate
Now choose to do the easy, medium, hard proofs
using the postulate/theorems that are left.
Easy, Medium, Hard Proof Pages
For each of these pages, you need to
choose one of the proofs to complete that
uses the three theorems/postulate you did
not prove on page 3.
Each page needs to include:
• Given/Prove Statements (1 point)
• Diagram (1 point)
• Two-column Proof (2 points)
Craftsmanship
To show you how important craftsmanship is when
completing a project in which neatness and
careful planning is paramount, up to 10 points
will be awarded based upon the skill with which
you’ve put together your flipbook. Things to
consider:
Penmanship
Color
Aesthetically-Pleasing
Design
Artful Diagrams