Question: How would you categorize parallelograms, rectangles, rhombi, squares, and trapezoids? Make an illustration to show how you see these types of shapes as related to

How would you categorize parallelograms, rectangles, rhombi, squares, and trapezoids? Make an illustration to show how you see these types of shapes as related to one another. Your illustration should show which types are subsets of other types.

Please create two versions depending on whether you use inclusive definitions or not (please see the definitions in the table below). Here's the twist:

Make two versions.

  • In Version 1, use all of the inclusive definitions to guide your decisions.
  • In Version 2, use inclusive definitions, except for the trapezoid.

Inclusive Definitions

Exclusive Definitions

Rectangle

A quadrilateral with all right angles and opposite sides are congruent

A quadrilateral with all right angles that has two long sides and two short sides

Square

A quadrilateral with all right angles and all sides congruent

A quadrilateral with all right angles and all sides congruent that is oriented so that its base lies along a horizontal line

Parallelogram

A quadrilateral with opposite sides parallel and opposite sides are congruent

A quadrilateral with opposite sides parallel that has two long sides and two short sides

Trapezoid

A quadrilateral with at least one pair of parallel sides

A quadrilateral with only one pair of parallel sides

Rhombus

A quadrilateral with all sides congruent and opposite angles are congruent

A quadrilateral with all sides congruent that has two acute angles and two obtuse angles

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