Indirect Proof (Section 5-4)

Front

What is the third step of an indirect proof?

Back

State the assumption is false, therefore the to prove is true.

Front

How does the exterior angle of a triangle compare to its remote interior angles?

Back

The exterior angle is greater than either of its remote interior angles.

Front

What assumption do you make to start the indirect proof of AB≅BC?

Back

Assume AB≇BC.

Front

What is the second step of an indirect proof?

Back

Reason until you find a contradiction to a known fact.

Front

What is proof involving indirect reasoning also called?

Back

Indirect Proof.

Front

Define indirect proof.

Back

A method of proof that assumes the negation of the statement to be proven is true, leading to a contradiction.

Front

What is the first step in an indirect proof?

Back

Assume the negation of the statement to be proven is true.

Front

What is a contradiction in the context of indirect proof?

Back

A statement that is logically inconsistent with the assumptions made.

Front

Why is indirect proof useful in geometry?

Back

It allows proving statements that may be difficult to prove directly.

Front

What is the relationship between an exterior angle and the sum of the remote interior angles?

Back

The exterior angle is equal to the sum of the remote interior angles.