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Constructing Quadrilaterals 1

Given two parallel lines, draw two more lines that intersect the two parallel lines, forming various four-sided figures. Place the mouse over the picture below for an illustration:

Discuss the properties of the different quadrilaterals formed (e.g., relationships between sides, among angles (acute, obtuse, right, measures, etc.), with diagonals, etc.) . Find as many properties of the quadrilaterals as possible that hold whenever the intersecting lines are moved. What happens when the black lines are no longer parallel?

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Investigating Properties
In this activity, we'll construct a demonstration sketch which could be used by middle school students to investigate the properties of quadrilaterals.

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