Education Technology

Investigating Properties of Kites

Published on 06/09/2008

Activity Overview

In this activity, students construct kites and investigate their properties. They also relate the properties to squares and rhombi.

Before the Activity

  • See the attached PDF file for detailed instructions for this activity
  • Print page 1 from the attached PDF file for your class
  • During the Activity

    Distribute the page to the class.

    Follow the Activity procedures:

  • Determine 3 ways to construct a kite
  • Construct a kite using one method
  • Determine if non convex kites can be constructed using the method
  • Draw the diagonals of a kite
  • Observe that the diagonals are perpendicular
  • Measure the area of the kite
  • Observe that the area is equal to one-half the product of the lengths of its diagonals and is true for convex and non convex kites
  • Drag the vertices of the kite and ensure that the relationships are maintained
  • Understand that the quadrilateral that connects the consecutive midpoints of a kite will always be a rectangle


  • Inscribe the kite in a rectangle such that the end points of the larger diagonal are the mid points of the sides of the rectangle
  • Measure the area of the rectangle
  • Note that the area of the kite is one-half the area of the rectangle
  • Observe that the relationship is true for all location of the vertices of the kite
  • Move the position of the vertices on the sides of the rectangle and measure the perimeter of the kite
  • Observe that the perimeter is minimum when the vertices lie on the midpoint of the two sides of the rectangle
  • Verify algebraically using quadratic function


  • Investigate the rhombus and the square; which are specialized kites, and observe that these quadrilaterals display the properties of kites
  • After the Activity

    Review student results:

  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary