From a chart of slopes and side lengths, can your students decipher which quadrilateral has been graphed? This activity works backwards from traditional coordinate geometry, where the student graphs the quadrilateral and then lists the slopes and lengths of the sides. From there the student usually tells what quadrilateral they have graphed. But what if they cannot SEE the graph? Can they still discern from the slopes and lengths which quadrilateral they have graphed?
This is a great activity to use as a review of definitions of quadrilaterals with whole class, groups, partners, or individually. Five problems are shown after one example. Answers are at the end.