Teaching with the Web:
A Collection of Online Treasure Hunts and Webquests

--------------------------------------------------------------------------------------------------------------

QUADRILATERALS: An Online Treasure Hunt for 3rd Year High School (Mathematics)

Authored by M. Soco


Introduction
Forms of all shapes and sizes abound in our environment. Quadrilaterials are one such set of forms. The term quadrilaterals should not be new to you. You were introduced to quadrilaterals in your elementary grades. In this activity, you will review what you’ve learned and learn new things about quadrilaterals.

The “rules” of the activity are simple: Working in groups of three, answer the questions below by reading the online resources listed. To access an online resource, simply click on its URL or address. After answering all questions, answer the Big Question.

Questions
  1. What is a quadrilateral? Give a NON-example of a quadrilateral (a shape that is not a quadrilateral).
  2. Enumerate the five common types of quadrilateral.
  3. When can you say that a trapezoid is isosceles?
  4. Describe a parallelogram.
  5. How does a square differ from a rhombus?
  6. Describe the diagonals of a square.
  7. Identify the parallelogram with diagonals that are congruent but not perpendicular.
  8. Which of the quadrilaterals have two pairs of congruent opposite angles?

Resources
Quadrilaterals: Definition of A Quadrilateral, Parallelograms
http://www.math.psu.edu/geom/koltsova/section10.html

Quadrilaterals
http://www.math.com/school/subject3/lessons/S3U2L3GL.html

Parallelogram and trapezoid
http://www.bymath.com/studyguide/geo/geo8.htm

Shapes: Quadrilaterals
http://www.icteachers.co.uk/children/sats/quadrilaterals.htm

Quadrilateral Family Tree
http://www.monroemontessori.com/Staff-info/quadrilateral_family_tree.htm

Diagonals in Quadrilaterals
http://www.intermath-ga.gatech.edu/tweb/CPTM1/dhabeeb/diagonalsinaquad/diagonalsinaquad.htm

Trapezoid Conjecture
http://www.geom.uiuc.edu/~dwiggins/conj19.html

Quadrilaterals in Geometry
http://www.mste.uiuc.edu/m2t2/geometry/quadrilaterals/default.html

Rectangle
http://www.e-zgeometry.com/class/class6/6.3.4/6.3.4.htm

The Big Question
A. Make a concept map showing how the different quadrilaterals and their properties are related to each other.

B. In the table below, check the characteristics that are applicable to the given quadrilaterals.

Characteristics Parallelogram Rectangle Rhombus Square Trapezoid Trapezium
1. All sides are congruent            
2. Two pairs of opposite sides are congruent            
3. Two pairs of opposite sides are parallel            
4. All angles are right angles            
5. Two pairs of opposite angles are equal            
6. Diagonals are equal            
7. Pair of sides is parallel            
8. No sides are parallel            

--------------------------------------------------------------------------------------------------------------