Geometry
Activity:
Diagonals of Quadrilaterals
Posted on Feb 18, 2010
Topic: Quadrilaterals
Students observe whether two diagonals of quadrilaterals mutually bisect each other, bisect vertical angles, or are congruent, or whether one is the perpendicular bisector of the other.
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Activity Key Steps:
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Students will identify quadrilaterals given only properties of their diagonals. This lesson involves manipulating endpoints and/or the intersection point of two diagonals that have special characteristics.
As a result of this activity, students will observe whether the two diagonals mutually bisect each other, bisect vertical angles, or are congruent, or whether one is the perpendicular bisector of the other.
Students will determine which special quadrilaterals can be formed and, in some cases, determine which special quadrilateral must be formed, based on what they know about the diagonals.