Geometry M2: Contra, Converse, Conditional, Inverse

Front

What is a Conditional Statement?

Back

A statement that can be written in the form 'If P, then Q', where P is the hypothesis and Q is the conclusion.

Front

What is a Converse Statement?

Back

A statement formed by reversing the hypothesis and conclusion of a conditional statement, written as 'If Q, then P'.

Front

What is an Inverse Statement?

Back

A statement formed by negating both the hypothesis and conclusion of a conditional statement, written as 'If not P, then not Q'.

Front

What is a Contrapositive Statement?

Back

A statement formed by negating both the hypothesis and conclusion of the converse statement, written as 'If not Q, then not P'.

Front

Identify the hypothesis in the statement: 'If it rains, then the ground is wet.'

Back

The hypothesis is 'It rains'.

Front

Identify the conclusion in the statement: 'If it rains, then the ground is wet.'

Back

The conclusion is 'The ground is wet'.

Front

What is the Inverse of the statement: 'If a shape is a square, then it has four sides.'

Back

If a shape is not a square, then it does not have four sides.

Front

What is the Contrapositive of the statement: 'If a number is odd, then it is not divisible by 2.'

Back

If a number is divisible by 2, then it is not odd.

Front

What is the Conditional Statement for: 'If a figure is a triangle, then it has three sides.'

Back

If a figure is a triangle, then it has three sides.

Front

What is the Converse of the statement: 'If a person is a teacher, then they work at a school.'

Back

If a person works at a school, then they are a teacher.