Converse Inverse contrapositive

Front

What does 'congruent' mean in geometry?

Back

Two objects that have the same size and shape.

Front

What is the converse of the statement 'If it is night, then it is dark outside'?

Back

If it is night, then it is dark outside.

Front

What is the contrapositive of the statement 'If Max gets good grades, then he won't be grounded'?

Back

If Max gets grounded, then he doesn't get good grades.

Front

What is the contrapositive of the statement 'If Jenny buys a guitar, then she will not buy a keyboard'?

Back

If Jenny buys a keyboard, then she will not buy a guitar.

Front

What is the contrapositive of the statement 'If an angle is not greater than 90, then it is not obtuse'?

Back

If an angle is not obtuse, then it is not greater than 90.

Front

Define 'inverse' in the context of conditional statements.

Back

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

Front

Define 'converse' in the context of conditional statements.

Back

The converse of a statement 'If P, then Q' is 'If Q, then P'.

Front

What is the relationship between a statement and its contrapositive?

Back

A statement and its contrapositive are logically equivalent.

Front

What is the relationship between a statement and its converse?

Back

A statement and its converse are not necessarily logically equivalent.

Front

Provide an example of a conditional statement and its inverse.

Back

Conditional: If it rains, then the ground is wet. Inverse: If it does not rain, then the ground is not wet.