Team Flora
Name __________________________
Date ________________ Period ____
(PARAGRAPH proofs)
Remember, you must give reasons for EVERY step you take. The reasons that you use must be
postulates, theorems, or definitions! If you make up your own reason, then it is no longer a valid
statement!
In a paragraph proof, you will be writing a detailed version of your plan. After each step you
take, you must state why you can make that step (the reasons!). For instance, from our first
example, you could write something like this:
2
PROVE: If  4 ≅ 6 , then 1 ≅ 5
3
6
7
1
a
4
5
b
8
Since we have already written our plan, we will start directly with the proof.
Proof: We know that  4 ≅ 6 because it is given. Since 4 and 6 are congruent
alternate interior angles, we can state that a  b because if alt. int. angles ≅ , then 
lines. Now, since a  b and 1 and 5 are corresponding angles, we can say that
1 ≅  5 because if  lines, then corr. angles congruent.
Now you try! Don’t forget to write a plan first!
EXAMPLE 2
Given:  4 supp. 5
Prove: 1 ≅ 7
7
8
6
c
5
3
4
2 1
d
Notes on Team Fauna:
______________________________ Proofs
(write type of proof here)
When writing a 2 column proof, you must follow these steps:
1) Make two columns. Name them “________________” and “______________”
2) ________________ your statements and reasons so that they match.
3) Start with the __________ . In the reason column, say “___________”. (see below)
4) You will take your plan and split them up into steps with reasons.
5) Your last step should always be the __________ ________________________.
Example/Notes:
Notes on Team Merriweather:
______________________________ Proofs
(write type of proof here)
For flow chart proofs, you will be making your own “concept map”. The _____________ for each
step is written _____________ the statements. ________________ are drawn in between statements
that connect.
Example/Notes:
Name __________________________
Date ________________ Period ____
Team Fauna
(2-Column proofs)
Remember, you must give reasons for EVERY step you take. The reasons that you use must be
postulates, theorems, or definitions! If you make up your own reason, then it is no longer a valid
statement!
When writing a 2 column proof, you must follow these steps:
1) Create two columns. Name the left side “Statements” and the right side “Reasons”
2) Number your statements and reasons so that they match.
3) Start with the given statement. In the reason column, say “Given”. (see below)
4) You will take your plan and split them up into steps with reasons.
5) Your last step should always be the prove statement.
Here is an example to help you:
PROVE: If  4 ≅ 6 , then 1 ≅ 5
2
3
6
7
1
4
5
8
a
b
Since we have already written our plan, we will start
directly with the proof.
Proof:
Statements
1)  4 ≅ 6
2) a  b
3) 1 ≅  5
Reasons
1) Given
2) If alt. int. angles are congruent, then
lines are parallel.
3) If lines are parallel, then
corresponding angles are congruent.
Now you try! Don’t forget to write a plan first!
EXAMPLE 2
Given:  4 supp. 5
Prove: 1 ≅ 7
7
8
6
c
5
3
4
2 1
d
Notes on Team Flora:
______________________________ Proofs
(write type of proof here)
In a paragraph proof, you will be writing a ______________ __________________ of your plan.
After each step you take, you must state ________ you can make that step (the reasons!).
Example/Notes:
Notes on Team Merriweather:
______________________________ Proofs
(write type of proof here)
For flow chart proofs, you will be making your own “concept map”. The _____________ for each
step is written _____________ the statements. ________________ are drawn in between statements
that connect.
Example/Notes:
Name __________________________
Date ________________ Period ____
Team MerriWeather
(Flow Chart proofs)
Remember, you must give reasons for EVERY step you take. The reasons that you use must be
postulates, theorems, or definitions! If you make up your own reason, then it is no longer a valid
statement!
For flow chart proofs, you will be making your own “concept map”. The reason for each step is
written under the statements. Arrows are drawn in between statements that connect. Let’s take a
look at Example 1 again!
2
PROVE: If  4 ≅ 6 , then 1 ≅ 5
3
6
7
1
a
4
5
b
8
Since we have already written our plan, we will start directly with the proof.
Proof:
 4 ≅ 6
Given
a b
1 ≅  5
If lines are parallel,
then corr. angles ≅.
If alt. int. angles ≅,
then lines are parallel.
Now you try! Don’t forget to write a plan first!
EXAMPLE 2
Given:  4 supp. 5
Prove: 1 ≅ 7
7
8
6
c
5
3
4
2 1
d
Notes on Team Fauna:
______________________________ Proofs
(write type of proof here)
When writing a 2 column proof, you must follow these steps:
1) Make two columns. Name them “________________” and “______________”
2) ________________ your statements and reasons so that they match.
3) Start with the __________ . In the reason column, say “___________”. (see below)
4) You will take your plan and split them up into steps with reasons.
5) Your last step should always be the __________ ________________________.
Example/Notes:
Notes on Team Flora:
______________________________ Proofs
(write type of proof here)
In a paragraph proof, you will be writing a ______________ __________________ of your plan.
After each step you take, you must state ________ you can make that step (the reasons!).
Example/Notes: