U2C4: Planning and Writing Geometric Proofs

Question 1

what are the three steps to gather information for a proof?

Answer 1

1. look at the hypothesis, or given information. write down every you know based on what you are given. mark this information on the diagram.
2. look at the conclusion, or what you are trying to prove. write down definitions of what you are trying to prove.
3. look at the diagram. write down anything from the figure that can help you.

Question 2

what are the steps to write a proof by contradiction?

Answer 2

1. assume the opposite of the “prove” statement.
2. use deductive reasoning to show that your assumption and the given information cannot both be true.
3. finish by saying that you reached a contradiction and that the original conclusion must be true.