Properties of Parallelograms

A quadrilateral with parallel opposite sides is called a parallelogram.

Math Focus 1: Definition of Parallelograms

Recall your prior knowledge on quadrilaterals, parallelograms, rectangles, squares, rhombi, trapezoids and kites. In the quiz that follows, choose True if you guess on the statement is true; otherwise, choose False.

• Both pairs of opposite sides are parallel. 

• Both pairs of opposite sides are congruent. 

• Both pairs of opposite angles are congruent

• Diagonals bisect each other.

• If each diagonal divides the quadrilateral into two congruent triangles.   

• A pair of opposite sides are congruent and parallel. 

Using the conditions specified in Math Focus 2

Identify if the given figure is a parallelogram. If it is a parallelogram, state the condition from Math Focus 2 that supports your answer.

Math Focus 3: Properties of Parallelograms

Supply what is missing in the statement by applying the properties of a parallelogram from Math Focus 3.