18
How to Structure a Proof

How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

Embed Size (px)

Citation preview

Page 1: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

How to Structure a Proof

Page 2: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

A Few Guidelines for Creating a Two-Column

Proof• Copy the drawing, the given, and what you want to prove.

• Make a chart containing a statement column and a reason column.

• Copy the given information in the statement column and put given for the reason.

• Label the drawing to match the givens, if you can.• Look at the drawing, using definitions,

postulates, and theorems to create your next statement.

• On the reason side, explain what is being affected by your statement from the previous step, making sure you then label your drawing, if you can.

• Repeat the previous two steps and check to see if you have reached what is being asked to prove.

Page 3: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

Copy the drawing, given, and prove.

Page 4: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

Make a chart containing a statement column and a reason column.

Page 5: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

Copy the given information in the statement column and put given for

the reason.

Page 6: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

Label the drawing to match the givens, if you can.

Page 7: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

Copy the given information in the statement column and put given for the

reason.

Page 8: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

Label the drawing to match the givens.

Page 9: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

Look at the drawing, using definitions, postulates, and theorems to create

your next statement.

Page 10: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

On the reason side, explain what is being affected by your statement from the previous step, making sure you then

label your drawing, if you can.

Page 11: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

Look at the drawing, using definitions, postulates, and theorems to create

your next reason.

Remember, you can use Given statements like definitions, postulates, and theorems.

Page 12: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

On the reason side, explain what is being affected by your statement from the previous step, making sure you then

label your drawing, if you can.

Page 13: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

Look at the drawing, using definitions, postulates, and theorems to create

your next reason.

Page 14: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

On the reason side, explain what is being affected by your statement from the

previous step, making sure you then label your drawing, if you can.

Page 15: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

Look at the drawing, using definitions, postulates, and theorems to create

your next reason.

Page 16: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

On the reason side, explain what is being affected by your statement from the previous step, making sure you then

label your drawing, if you can.

Page 17: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

Check to see if you reached what you were asked to prove.

Page 18: How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing

Congratulations!You have just completed a

proof!