Geometry A 1A 3 Bi-conditionals

Front

What is a bi-conditional statement?

Back

A bi-conditional statement is a logical statement that combines two conditional statements, stating that both conditions are true or both are false. It is often expressed in the form 'P if and only if Q'.

Front

Write the bi-conditional of the statement: 'All squares are rectangles.'

Back

A shape is a square if and only if it is a rectangle with all sides equal.

Front

What is a counterexample?

Back

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

Front

Write the bi-conditional of the statement: 'A shape with four equal sides is a square.'

Back

A shape is a square if and only if it has four equal sides.

Front

Write the bi-conditional of the statement: 'A polygon with three sides is a triangle.'

Back

A polygon is a triangle if and only if it has three sides.

Front

Provide a counterexample for the statement: 'All birds can fly.'

Back

Penguins are birds that cannot fly.

Front

What does 'if and only if' mean in a bi-conditional statement?

Back

'If and only if' indicates that both conditions must be true together or false together.

Front

Write the bi-conditional of the statement: 'A number is even if it is divisible by 2.'

Back

A number is even if and only if it is divisible by 2.

Front

Provide a counterexample for the statement: 'All fruits are sweet.'

Back

Tomatoes are fruits that are not sweet.

Front

Write the bi-conditional of the statement: 'A person is a parent if they have a child.'

Back

A person is a parent if and only if they have a child.