Reasoning & Proofs

Front

What is the contrapositive of the statement: If an angle is 100 degrees, then the angle is obtuse?

Back

If an angle is not obtuse, then the angle is not 100 degrees.

Front

What is the inverse of the statement: If an angle is 30 degrees, then the angle is acute?

Back

If an angle is not 30 degrees, then the angle is not acute.

Front

What is inductive reasoning?

Back

Inductive reasoning is when you use patterns in a specific case and then write a conjecture for the general case.

Front

What type of reasoning do we use when we write proofs?

Back

Deductive Reasoning.

Front

Which pair of angles are opposite of each other when two lines intersect?

Back

Vertical Angles.

Front

Define a conditional statement.

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions.

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement 'If P, then Q' is 'If Q, then P'.

Front

What is the definition of deductive reasoning?

Back

Deductive reasoning is the process of reasoning from one or more statements (premises) to reach a logically certain conclusion.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect, and they are always congruent.

Front

What is a conjecture?

Back

A conjecture is an unproven statement that is based on observations.