Proving that Quadrilaterals are Parallelograms
Free Geometry Worksheet - Proving that Quadrilaterals are Parallelograms
Lesson:
5. To complete proofs involving quadrilaterals and parallelograms
Subject:
Geometry
Description:
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.
# of Problems: 11
# of Pages: 3
Answer Key?: Yes
Sample Problems from Worksheet
(Worksheet pictures and diagrams not shown)
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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