Geometry Unit 2: Conditional Statements

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions, where the first proposition (hypothesis) implies the second proposition (conclusion).

Front

What is the hypothesis in a conditional statement?

Back

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

Front

What is the conclusion in a conditional statement?

Back

The conclusion is the part of the conditional statement that follows 'then'. It represents the result or outcome that follows from the hypothesis.

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p' (symbolically: @@ eg q ightarrow eg p@@).

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' (symbolically: @@q ightarrow p@@).

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' (symbolically: @@ eg p ightarrow eg q@@).

Front

How do you form the contrapositive of 'If it rains, then the ground is wet'?

Back

The contrapositive is 'If the ground is not wet, then it does not rain.'

Front

How do you form the converse of 'If you study, then you will pass'?

Back

The converse is 'If you pass, then you studied.'

Front

What is an example of a conditional statement?

Back

An example of a conditional statement is: 'If a shape is a square, then it has four equal sides.'

Front

What is the relationship between a statement and its contrapositive?

Back

A statement and its contrapositive are logically equivalent, meaning they are either both true or both false.