Geometry: Logic Statements

Front

What is a hypothesis in a logical statement?

Back

The hypothesis is the part of a conditional statement that follows 'if'. It is the condition that must be true for the conclusion to follow.

Front

What is a conclusion in a logical statement?

Back

The conclusion is the part of a conditional statement that follows 'then'. It is the result that follows if the hypothesis is true.

Front

Identify the hypothesis in the statement: 'If it is a triangle, then it has three sides.'

Back

It is a triangle.

Front

Identify the conclusion in the statement: 'If it is a triangle, then it has three sides.'

Back

It has three sides.

Front

What is a conditional statement?

Back

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

Front

What does the term 'contrapositive' mean in logic?

Back

The contrapositive of a statement 'If P, then Q' is 'If not Q, then not P'. It is logically equivalent to the original statement.

Front

What is the difference between a hypothesis and a conclusion?

Back

The hypothesis is the condition that must be satisfied, while the conclusion is the outcome that follows if the hypothesis is true.

Front

What is a biconditional statement?

Back

A biconditional statement is a statement that combines two conditional statements, expressed as 'P if and only if Q'.

Front

What is the meaning of 'logical equivalence'?

Back

Two statements are logically equivalent if they have the same truth value in all possible scenarios.

Front

Given the statement: 'If I have a Siberian Husky, then I have a dog.' What is the contrapositive?

Back

If I do not have a dog, then I do not have a Siberian Husky.