Indirect Proof

Front

What is an indirect proof?

Back

An indirect proof is a method of proving a statement by assuming the opposite of what you want to prove, leading to a contradiction.

Front

What is the first step in an indirect proof?

Back

Assume the negation of what you are trying to prove.

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition.

Front

What does it mean for angles to be congruent?

Back

Congruent angles have the same measure.

Tags

CCSS.8.G.A.2

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is the purpose of an indirect proof?

Back

The purpose of an indirect proof is to demonstrate that a statement is true by showing that assuming the opposite leads to a contradiction.

Front

What is a proof in mathematics?

Back

A proof is a logical argument that establishes the truth of a statement based on previously accepted statements, such as axioms.

Front

What is the definition of a hypothesis in a proof?

Back

A hypothesis is a statement or assumption that is taken to be true for the purpose of argument or investigation.

Tags

CCSS.RL.9-10.1

CCSS.RL.11-12.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RI.8.1

Front

What is the conclusion in a proof?

Back

The conclusion is the statement that follows logically from the hypothesis and the reasoning used in the proof.

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c.

Tags

CCSS.7.EE.A.1