2.10 Warmup Proof Techniques

Front

What is the multiple of 3 before 3n?

Back

3n - 3

Tags

CCSS.7.EE.A.1

Front

In a direct proof, we assume that p is __________ and prove that q is true.

Back

true

Front

Using the indirect proof, what can be assumed so that the statement 'If the square of an integer n is even, then n itself is even' is true?

Back

n is odd

Front

A way to reach a conclusion using reasoning is called:

Back

Proof

Front

A proof is finished when...

Back

the last statement matches what you are trying to prove.

Front

What is a proof?

Back

A logical argument that establishes the truth of a statement.

Front

What is an indirect proof?

Back

A proof that assumes the opposite of what you want to prove and shows that this assumption leads to a contradiction.

Front

What is a counterexample?

Back

An example that disproves a statement or proposition.

Front

What is a hypothesis in a proof?

Back

The initial assumption or statement that is being tested.

Front

What does it mean for a statement to be true?

Back

It means that the statement accurately reflects reality or a mathematical fact.

Tags

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RI.8.1