Geometry- Logic & Reasoning Unit 1 Review

Front

What is the inverse of the statement: 'If a polygon is a quadrilateral, then it is a trapezoid'?

Back

If the polygon is not a quadrilateral, then it is not a trapezoid.

Front

Is the biconditional statement 'You can play volleyball if and only if you play a sport' true or false?

Back

False

Front

What is the contrapositive of the statement: 'If a polygon is a quadrilateral, then it is a trapezoid'?

Back

If a polygon is not a trapezoid, then it is not a quadrilateral.

Front

What is the converse of the statement: 'If you are hungry, then you did not eat lunch'?

Back

If you did not eat lunch, then you are hungry.

Front

Which of the following biconditional statements is true? 'Today is Friday if and only if yesterday was Thursday.'

Back

True

Front

Define a biconditional statement.

Back

A biconditional statement is a statement that combines two conditional statements, stating that both conditions are true or both are false, typically expressed as 'p if and only if q'.

Front

What is a conditional statement?

Back

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

Front

What is the definition of a contrapositive?

Back

The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p'.

Front

What is the definition of a converse?

Back

The converse of a conditional statement 'If p, then q' is 'If q, then p'.

Front

What is the difference between a statement and its inverse?

Back

The inverse negates both the hypothesis and conclusion of the original statement.