Geometry
View Activity ArchivesActivity:
Properties of Parallelograms
Posted on Dec 3, 2009
Topic: Quadrilaterals & Polygons
Students explore the various properties of parallelograms and the necessary and sufficient conditions that guarantee that a quadrilateral is a parallelogram.
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Activity Key Steps:
Students will discover several properties of parallelograms.
They also will discover that opposite sides are congruent, opposite angles are congruent, and consecutive angles are supplementary.
Next, students will discover that diagonals of a parallelogram bisect each other.
Then, students will discover several properties that guarantee that a quadrilateral is a parallelogram.
As an extension, students will be asked to find the midpoint of all sides of a quadrilateral and connect these midpoints to form another quadrilateral. Students will be asked to discover what type of quadrilateral is created.