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Create Your Own Paper Geometry: Exploring Parallelograms, Rhombuses, Squares & Rectangles

This step-by-step guide will show you how to create a paper model that demonstrates key properties of geometric shapes: parallelograms, rhombuses, rectangles, and squares. Using just a piece of paper, scissors (with safety in mind), a pencil, and a ruler, you'll fold the paper to form flaps and cut to create four "doors." Each door will illustrate the properties of these quadrilaterals, providing detailed descriptions and illustrations of their defining features. Perfect for enhancing your understanding of geometry!

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Create Your Own Paper Geometry: Exploring Parallelograms, Rhombuses, Squares & Rectangles

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Presentation Transcript

  1. You Need: • 1 piece of paper • Scissors (remember your safety rules) • Pencil • ruler

  2. Fold the paper in half one way, crease it, then open it back up Do the same for the other direction Step 1

  3. Fold the long ends in toward the middle and keep them folded in Step 2

  4. Cut along the crease of the flaps to create 4 “doors” Step 3

  5. On the doors Parallelogram: a quadrilateral with 2 pairs of parallel sides and 2 pairs of congruent sides Rhombus: a parallelogram with 4 congruent sides Square: a parallelogram, a rhombus and a rectangle. Rectangle: a parallelogram with 4 right angles.

  6. Inside the flaps: I want a neat, detailed description with illustration as follows…

  7. Parallelogram (left side): • Quadrilateral • Opposite sides parallel • Opposite sides congruent • Opposite angles congruent • Consecutive angles supplementary • Diagonals bisect each other

  8. Parallelogram (right side):

  9. Rhombus (right side): • Quadrilateral • Opposite sides parallel • All sides congruent • Opposite angles congruent • Consecutive angles supplementary • Diagonals bisect each other • Diagonals are perpendicular

  10. Rhombus (left side):

  11. Rectangle (left side): • Quadrilateral • Opposite sides parallel • Opposite sides congruent • All angles congruent • All angles are 90 degrees • Consecutive angles supplementary • Diagonals bisect each other • Diagonals are congruent

  12. Rectangle (right side): A B D C AC = BD

  13. Square (right side): • Quadrilateral • Opposite sides parallel • All sides congruent • All angles congruent • Consecutive angles supplementary • Diagonals bisect each other • Diagonals are congruent and perpendicular

  14. Square (left side): A B AC = BD D C

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