Quadrilaterals

1
Quadrilaterals

• 7th hours Discovery process

2
Day 1Student Notes

• We were told to group our quadrilaterals into
  groups and see if some were the same. Also we
  were told to classify them in to groups depending
  on what they look like.
• Some forms of classification were congruent sides
  and angles, congruent sides, congruent angles,
  none, buses/limos/cars, uniqueazoid, arrows,
  squares, rhombus, rectangle, convex, concave,
  parallel, and kite

3
Day 1 Groupings

• ELEVEN (11) major classifications
• Parallelograms- they have four sides parallel
  sides and opposite angles are congruent
• Squares- all congruent sides and angles
• Rhombus-all congruent sides
• Rectangle-two pairs of congruent sides and all
  congruent sides

4
Day 1 Groupings

• Trapezoid one set of parallel lines
• Right trapezoid also has a right angle
• Isosceles trapezoid- also has two congruent sides
• Convex-you only go in 360 degrees when you go the
  whole way around it
• Concave-one or more sides go in
• Trapezium-there is no sides parallel
• Uniqueazoid- no congruency at all
• Kite-two sets of adj.sides

5
Day 1 Homework

• Classify each of your twenty quadrilaterals
  according to your class' system, and determine
  the properties of each group created by your
  class. You will need to have an accurately-drawn
  picture, and make measurements!

6
Example of a Taxonomy
7
Day 2 Homework

• State all the properties of each classification
  in theorem form. Prove three of these theorems.
  They should be different theorems than those
  chosen by the other members of your group.