Quadrilaterals

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Quadrilaterals

• 7th hours Discovery process

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Day 1 Groupings

• We were told to group our quadrilaterals
• Some of the groupings we came up with were
  (numbered groups are the major groups)
• Acute concave quadrilaterals
• (4)Squares
• (3)Rectangles

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Day 1 Groupings

• (5)Trapezoids
• (1)Parallelograms
• (2)rhombus
• Right angle convex
• Right angle concave
• Concave obtuse

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Day 1 Groupings

• (6)Trapezoid with non parallel sides congruent
• Convex obtuse
• Concave two congruent sides no parallel lines
• Acute convex
• (8)Convex two congruent sides, no parallel lines
• (12)Concave right angle two pairs congruent sides

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Day 1 Groupings

• Concave two congruent sides no parallel lines
• (11)Concave right angle, no parallel lines and no
  sides are congruent
• (7)Two right angles, one set of parallel lines,
  non concave, one obtuse angle, one acute angle
• (9)No parallels two pairs of adjacent congruent
  kite
• (10)Concave angle, to pairs pf congruent sides,
  one pair of congruent angles
• Concave right angle, no parallels, no sides
  congruen

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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!

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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.

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Example of a Taxonomy