Visually Introducing & Classifying a Kite

Visually Introducing & Classifying a Kite (Grades 1-7)

Visually Introducing & Classifying a Kite
In this activity, you will be visually introduced to a kite, and by dragging, visually explore its special cases in relation to other quadrilaterals, and eventually classify them in the form of a 'family tree'.

 

Visually Introducing & Classifying a Kite

Notes
1) This is a suggested, introductory activity on Level 1 (Visualization) of the Van Hiele theory of learning geometry. Since definitions according to the Van Hiele theory only start to become meaningful to students at Level 3 (Informal Deduction), it is also very important to note that the concept of 'kite' is also here introduced without any formal definition; only by name and a dynamic visual representation. For more details about the rationale for this approach, read: Note to Teachers, Parents & Mathematics Education Researchers: Investigating Quadrilaterals.
2) The intention of the suggested dynamic activities above is not to replace traditional geometric manipulatives such as cardboard, paper, geoboard or plastic representations of various quadrilaterals, but rather to supplement and compliment those hands-on concrete activities.
3) For an activity for a kite on the next Van Hiele level of learning (Level 2), go to: Kite: Analysis of properties.

Related Links
Kite: Analysis of properties
Kite Midpoints (Rethinking Proof activity)
Visually Introducing & Classifying Quadrilaterals
Introducing, Classifying, Exploring, Constructing & Defining Quadrilaterals
Note to Teachers, Parents & Mathematics Education Researchers: Investigating Quadrilaterals
Some Van Hiele theory video clips and invited papers
A Hierarchical Classification of Quadrilaterals
Definitions and some Properties of Quadrilaterals
Tiling with a Trilateral Trapezium and Penrose Tiles (PDF)
Some Properties of Bicentric Isosceles Trapezia & Kites
Golden Kite
Alternate sides cyclic-2n-gons and Alternate angles circum-2n-gons
(Generalizations of isosceles trapezia and kites)

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Created by Michael de Villiers in July 2008; converted to WebSketchpad, 20 July 2025.