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Classifying Convex Quadrilaterals How would you categorize parallelograms, rectangles, rhombi, squares, and trapezoids? Make an illustration to show how you see these types of shapes
Classifying Convex Quadrilaterals 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. e In Version 1, use all of the inclusive definitions to guide your decisions. e In Version 2, use inclusive definitions, except for the trapezoid. Inclusive Definitions Exclusive Definitions Rectangle A quadrilateral with all right angles and A quadrilateral with all right angles that opposite sides are congruent has two long sides and two short sides Square A quadrilateral with all right angles and A quadrilateral with all right angles and all all sides congruent sides congruent that is oriented so that its base lies along a horizontal line Parallelogram | A quadrilateral with opposite sides A quadrilateral with opposite sides parallel parallel and opposite sides are congruent | that has two long sides and two short sides Trapezoid A quadrilateral with at least one pair of A quadrilateral with only one pair of parallel sides parallel sides Rhombus A quadrilateral with all sides congruent A quadrilateral with all sides congruent and opposite angles are congruent that has two acute angles and two obtuse angles
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