Quadrilaterals

Tim Brzezinski, Ronan Downes, Mar 4, 2020

Properties of Special Quadrilaterals

Table of Contents

  1. Blank Templates
    1. Parallelogram: Theorem 1
    2. Parallelogram Template
    3. Parallelograms (I)
    4. Parallelogram Template (Scaffolded Discovery)
    5. Rhombus Template with Investigation Questions
    6. Parallelogram Construction Template & Discovery Lab
    7. Rectangle Template with Investigation Questions
    8. Square Template with Investigation Questions
    9. What Kind of Quadrilateral is This? (Part 1)
    10. Isosceles Trapezoid Template
    11. What Kind of Quadrilateral is This? (Part 2)
    12. What Kind of Quadrilateral is This? (Part 3)
    13. Kite Template with Investigation Questions
    14. Trapezoids: Median Investiagtion
    15. What Kind of Quadrilateral is This? (Part 4)
    16. Quadrilateral With Opposite Angles Congruent
    17. Parallelogram Diagonals
    18. What Kind of Quad?
    19. Quadrilateral Investigation (I)
    20. Rectangle Action!
    21. Rectangle Diagonals
    22. Rectangle Template (Scaffolded Investigation)
    23. Rhombus Action!
    24. Rhombus Diagonals
    25. Rhombus Template (Scaffolded Discovery)
    26. Square Action!
    27. Trapezoid Median (Midsegment) Action!
    28. Trapezoid Median: 2 Discoveries
    29. Isosceles Trapezoid Action!
    30. Isosceles Trapezoid Template (Scaffolded Discovery)
    31. Kite Action!
    32. Kite Template: Scaffolded Investigation
    33. Isosceles Trapezoid Diagonals
    34. Isosceles Trapezoid Midpoints
    35. Copy of Quadrilateral Angle Theorems
    36. Quad Midpoints Action!
    37. Exterior Angles of a Quadrilateral
    38. Quadrilateral Creation Templates
    39. Parallelogram: Theorem 2
    40. Quadrilateral Creations from 2 Isosceles Triangles
    41. Parallelogram: Theorem (3)
    42. Special Quadrilateral: Theorem 1
    43. Special Quadrilateral: Theorem 2
    44. Special Quadrilateral: Theorem 3
    45. Special Quadrilateral: Theorem 4
    46. Obvious Trapezoid Theorem?
  2. Scaffolded Discovery Templates
  3. Quadrilaterals: Angles
  4. Quadrilateral Theorems (Without Words)

1.

Blank Templates

  • 1. Parallelogram: Theorem 1
  • 2. Parallelogram Template
  • 3. Parallelograms (I)
  • 4. Parallelogram Template (Scaffolded Discovery)
  • 5. Rhombus Template with Investigation Questions
  • 6. Parallelogram Construction Template & Discovery Lab
  • 7. Rectangle Template with Investigation Questions
  • 8. Square Template with Investigation Questions
  • 9. What Kind of Quadrilateral is This? (Part 1)
  • 10. Isosceles Trapezoid Template
  • 11. What Kind of Quadrilateral is This? (Part 2)
  • 12. What Kind of Quadrilateral is This? (Part 3)
  • 13. Kite Template with Investigation Questions
  • 14. Trapezoids: Median Investiagtion
  • 15. What Kind of Quadrilateral is This? (Part 4)
  • 16. Quadrilateral With Opposite Angles Congruent
  • 17. Parallelogram Diagonals
  • 18. What Kind of Quad?
  • 19. Quadrilateral Investigation (I)
  • 20. Rectangle Action!
  • 21. Rectangle Diagonals
  • 22. Rectangle Template (Scaffolded Investigation)
  • 23. Rhombus Action!
  • 24. Rhombus Diagonals
  • 25. Rhombus Template (Scaffolded Discovery)
  • 26. Square Action!
  • 27. Trapezoid Median (Midsegment) Action!
  • 28. Trapezoid Median: 2 Discoveries
  • 29. Isosceles Trapezoid Action!
  • 30. Isosceles Trapezoid Template (Scaffolded Discovery)
  • 31. Kite Action!
  • 32. Kite Template: Scaffolded Investigation
  • 33. Isosceles Trapezoid Diagonals
  • 34. Isosceles Trapezoid Midpoints
  • 35. Copy of Quadrilateral Angle Theorems
  • 36. Quad Midpoints Action!
  • 37. Exterior Angles of a Quadrilateral
  • 38. Quadrilateral Creation Templates
  • 39. Parallelogram: Theorem 2
  • 40. Quadrilateral Creations from 2 Isosceles Triangles
  • 41. Parallelogram: Theorem (3)
  • 42. Special Quadrilateral: Theorem 1
  • 43. Special Quadrilateral: Theorem 2
  • 44. Special Quadrilateral: Theorem 3
  • 45. Special Quadrilateral: Theorem 4
  • 46. Obvious Trapezoid Theorem?

1.1.

Parallelogram: Theorem 1

Interact with the applet below for a few minutes. [br]Then, answer the questions that follow. [br][br]Feel free to move the BIG WHITE POINTS anywhere you'd like! [br][color=#ff00ff]You can also adjust the size of the pink angle by using the slider. [/color]
1.
What special type of quadrilateral was formed in the first half of your sliding-the-slider? How do you know this?
2.
What else can you conclude about this special type of quadrilateral? Be specific!
3.
Write a 2-column, paragraph, or coordinate geometry proof of what you've informally observed here. (Hint: If you choose a 2-column or paragraph proof, this proof will involve a pair of congruent triangles!)
Quick Demo: 0:00 sec to 0:33 sec (BGM: Andy Hunter)
– Tim Brzezinski

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2.

Scaffolded Discovery Templates


    This chapter does not contain any resources yet.

3.

Quadrilaterals: Angles


    This chapter does not contain any resources yet.

4.

Quadrilateral Theorems (Without Words)


    This chapter does not contain any resources yet.

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