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Proving that Quadrilaterals are Parallelograms

Worksheet (Geometry)

PDF: Geometry - geometry proofs, quadrilaterals, parallograms

Proving that Quadrilaterals are Parallelograms Worksheet


This geometry worksheet contains problems on proving if certain quadrilaterals are parallelograms and requires an understanding of the different theorems and properties required to prove that a quadrilateral is a parallelogram.

Lesson: 

5. To complete proofs involving quadrilaterals and parallelograms

Subject: 

Number of Problems: 

11

Pages: 

3

Answer Key: 

Yes

Samples: 

Free Geometry Worksheet
Proving that a Quadrilateral is a Parallelogram

The definition of a parallelogram gives one way to prove that a quadrilateral is a parallelogram (show both pair of opposite sides are parallel). Complete the following theorems which provide four more ways.

1) If both pairs of opposite sides of a quadrilateral are ___________________, then the quadrilateral is a parallelogram.

2) If one pairs of opposite sides of a quadrilateral are both ___________________ and ___________________, then the
quadrilateral is a parallelogram.

3) If both pairs of opposite angles of a quadrilateral are ___________________, then the quadrilateral is a parallelogram.

4) If the _________________ of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Decide whether each quadrilateral is a parallelogram. If the answer is yes, state the definition or theorem that applies.

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