Geometry: Creating a Midpoint Quad

Objectives

• Students will explore the parallelogram formed by the midpoints of any quadrilateral.
• Students will further explore special outer and inner quadrilaterals formed by the connected midpoints. Area relationships will also be investigated.

Vocabulary

• midpoint quadrilateral
• parallelogram
• convex quadrilateral
• concave quadrilateral
• midsegment

About the Lesson

This “create your own” activity is designed to be introduced by the teacher and completed by the students as they discover and justify their conjectures. The time varies for this activity depending on whether the TI-Nspire document (.tns file) is provided or created by the students.