Counter Examples

Front

What is a counterexample?

Back

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

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement 'If P, then Q' is 'If not P, then not Q.'

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 a biconditional statement?

Back

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

Front

Define collinear points.

Back

Collinear points are points that lie on the same straight line.

Front

Define coplanar points.

Back

Coplanar points are points that lie on the same plane.

Front

What is a conditional statement?

Back

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

Front

How do you identify the hypothesis in a conditional statement?

Back

The hypothesis is the 'if' part of the conditional statement.

Front

How do you identify the conclusion in a conditional statement?

Back

The conclusion is the 'then' part of the conditional statement.

Front

What is the negation of a statement?

Back

The negation of a statement is the opposite of the statement, often formed by adding 'not'.