Discover Quadrilaterals and Their Properties in Geometry

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Explore the properties of quadrilaterals such as rectangles, rhombuses, kites, and parallelograms through a series of interactive exercises and definitions in geometry. Learn how to identify and differentiate between these shapes and maximize their areas within provided constraints.

  • Geometry
  • Quadrilaterals
  • Properties
  • Shapes
  • Definitions

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  1. Starter: Join dots on each grid below to make the named quadrilateral. http://images.clipartpanda.com/pencil-clipart-pencil.png You must use the side given, you can't shorten or extend it.

  2. If there is more than one possible shape that you can draw try to find the one with the largest area. Example:

  3. Check each shape have you managed to find the maximum area? 1) 6 rectangle 2) 8 square 3) 4 rectangle 13) 6 arrowhead 14) 8 kite 15) 8 rhombus 4) 12 isosceles trapezium 5) 19 parallelogram 6) 8 kite 16) 3 rhombus 17) 4 arrowhead 18) 9 trapezium 7) 6 parallelogram 8) 5 square 9) 12 kite 19) 8 parallelogram 20) 8 isosceles trapezium 21) 3 kite 10) 4 rhombus 11) 3 parallelogram 12) 6 kite 22) 4 arrowhead 23) 9 kite 24) 9 trapezium

  4. How do you define a rectangle? How do you define a rhombus? How do you define a kite? How do you define a parallelogram?

  5. rectangle rhombus kite parallelogram Which group do I belong in?

  6. 5) 19 parallelogram (10 if you do allow squares) 10) 4 rhombus (5 if you do allow squares) 11) 3 parallelogram (6 if you do allow rectangles) http://nrich.maths.org/11234/clue

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