1. Prepared by Nancy Merrllyn P.R.T K.V.N.L.C Neyveli
Special
Quadrilaterals
Prepared by Nancy Merrllyn
P.R.T
K.V.N.L.C Neyveli

2. Quadrilateral
Four sided polygon

3. Foldable
1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line.

4. Foldable The fold crease
2. Now, divide the right hand section into 5 sections by drawing 4 evenly spaced lines.
3. Use scissors to cut along your drawn line, but ONLY to the crease!

5. Foldable QUADRILATERALS The fold crease
4. Write QUADRILATERALS down the left hand side
QUADRILATERALS

6. Foldable Parallelogram QUADRILATERALS The fold crease
5. Fold over the top cut section and write PARALLELOGRAM on the outside.
QUADRILATERALS
Parallelogram
6. Reopen the fold.

7. Foldable QUADRILATERALS
7. On the left hand section, draw a parallelogram.
QUADRILATERALS
8. On the right hand side, list all of the properties of a parallelogram.

8. Now, Let’s review what we learned last class

9. A quadrilateral is a PARALLELOGRAM if and only if it has two sets of parallel sides

10. Properties 1.BOTH pairs of opposite sides are parallel
2.BOTH pairs of opposite sides are congruent
3. BOTH pairs of opposite angles are congruent
4.Consecutive angles are supplementary
5.diagonals BISECT each other

11. Foldable QUADRILATERALS RECTANGLE
* Fold over the second cut section and write RECTANGLE on the outside.
QUADRILATERALS
1. Opposite sides parallel.
2. Opposite sides congruent.
3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
5. Diagonals bisect each other.
RECTANGLE
* Reopen the fold.

12. Foldable QUADRILATERALS * On the left hand section, draw a rectangle.
1. Opposite sides parallel.
2. Opposite sides congruent.
3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
5. Diagonals bisect each other.
* On the right hand side, list all of the properties of a rectangle.

13. A parallelogram with FOUR RIGHT ANGLES
RECTANGLE
A parallelogram with FOUR RIGHT ANGLES

14. A quadrilateral is a RECTANGLE if and only if it has four right angles

15. Opposite sides are equal
RECTANGLE
Opposite sides are equal

16. Foldable QUADRILATERALS RHOMBUS
* Fold over the third cut section and write RHOMBUS on the outside.
QUADRILATERALS
1. Opposite sides parallel.
2. Opposite sides congruent.
3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
5. Diagonals bisect each other.
1. Has 4 right angles.
2. Diagonals are congruent.
3. All properties of parallelogram.
* Reopen the fold.
RHOMBUS

17. Foldable QUADRILATERALS * On the left hand section, draw a rhombus.
1. Opposite sides parallel.
2. Opposite sides congruent.
3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
5. Diagonals bisect each other.
1. Has 4 right angles.
2. Diagonals are congruent.
3. All properties of parallelogram.
* On the right hand side, list all of the properties of a rhombus.

18. A parallelogram with FOUR CONGRUENT SIDES
RHOMBUS
A parallelogram with FOUR CONGRUENT SIDES

19. A quadrilateral is a RHOMBUS if and only if it has four congruent sides

20. Diagonals Bisect A Pair of Opposite Angles
RHOMBUS
Diagonals Bisect A Pair of Opposite Angles

21. Diagonals are Perpendicular
RHOMBUS
Diagonals are Perpendicular

22. Foldable QUADRILATERALS SQUARE
* Fold over the fourth cut section and write SQUARE on the outside.
QUADRILATERALS
1. Opposite sides parallel.
2. Opposite sides congruent.
3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
5. Diagonals bisect each other.
1. Has 4 right angles.
2. Diagonals are congruent.
3. All properties of parallelogram.
* Reopen the fold.
1. Has 4 Congruent sides
2. Diagonals bisect opposite angles.
3. Diagonals are perpendicular.
4. All properties of parallelograms.
SQUARE

23. Foldable QUADRILATERALS * On the left hand section, draw a square.
1. Opposite sides parallel.
2. Opposite sides congruent.
3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
5. Diagonals bisect each other.
1. Has 4 right angles.
2. Diagonals are congruent.
3. All properties of parallelogram.
* On the right hand side, list all of the properties of a square.
1. Has 4 Congruent sides
2. Diagonals bisect opposite angles.
3. Diagonals are perpendicular.
4. All properties of parallelograms.

24. A parallelogram with FOUR RIGHT ANGLES AND FOUR equal SIDES
SQUARE
A parallelogram with FOUR RIGHT ANGLES AND FOUR equal SIDES

25. A quadrilateral is a SQUARE if and only if it has four congruent sides and four right angles

26. Holds same properties as Rhombus and Rectangle
SQUARE
Holds same properties as Rhombus and Rectangle

27. Foldable QUADRILATERALS TRAPEZOID KITE 1. Opposite sides parallel.
2. Opposite sides congruent.
3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
5. Diagonals bisect each other.
1. Has 4 right angles.
2. Diagonals are congruent.
3. All properties of parallelogram.
1. Has 4 Congruent sides
2. Diagonals bisect opposite angles.
3. Diagonals are perpendicular.
4. All properties of parallelograms.
1. 4 congruent sides and 4 congruent
(right) angles
2. All properties of parallelogram,
rectangle, and rhombus
TRAPEZOID
KITE

28. Foldable QUADRILATERALS 1. Opposite sides parallel.
2. Opposite sides congruent.
3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
5. Diagonals bisect each other.
1. Has 4 right angles.
2. Diagonals are congruent.
3. All properties of parallelogram.
1. Has 4 Congruent sides
2. Diagonals bisect opposite angles.
3. Diagonals are perpendicular.
4. All properties of parallelograms.
1. 4 congruent sides and 4 congruent
(right) angles
2. All properties of parallelogram,
rectangle, and rhombus

29. ONE PAIR OF PARALLEL SIDES
Trapezoid
ONE PAIR OF PARALLEL SIDES

30. A quadrilateral is a TRAPEZOID if and only if it has ONE pair of parallel sides

31. Leg angles are supplementary
Trapezoid
base
Leg angle 1
leg
Leg angle 2
Leg angles are supplementary

32. Midsegment is ½ the sum of the lengths of the bases
Trapezoid
Base (b2)
Base (b1)
Midsegment =½ (b1 + b2)
Midsegment is ½ the sum of the lengths of the bases

33. Isosceles: Base angles are congruent
Trapezoid
base
leg
Base angle 2
Base angle 1
Isosceles: Base angles are congruent

34. Isosceles: Diagonals are congruent
Trapezoid
Isosceles: Diagonals are congruent

35. KITE
TWO PAIRS OF CONSECUTIVE CONGRUENT SIDES (opposite sides not congruent)

36. A quadrilateral is a KITE if and only if it has two pairs of congruent consecutive sides

37. Diagonals are perpendicular
KITE
Diagonals are perpendicular

38. Short diagonal is bisected
KITE
Short diagonal is bisected

39. ONE pair of opposite angles are congruent (not both)
KITE
ONE pair of opposite angles are congruent (not both)

40. The other angles are bisected by the diagonal
KITE
The other angles are bisected by the diagonal

41. Foldable QUADRILATERALS 1. Opposite sides parallel.
2. Opposite sides congruent.
3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
5. Diagonals bisect each other.
1. Has 4 right angles.
2. Diagonals are congruent.
3. All properties of parallelogram.
1. Has 4 Congruent sides
2. Diagonals bisect opposite angles.
3. Diagonals are perpendicular.
4. All properties of parallelograms.
QUADRILATERALS
1. 4 congruent sides and 4 congruent
(right) angles
2. All properties of parallelogram,
rectangle, and rhombus
1. One pair of parallel sides
2. Leg angles supplementary
3. Midsegment= ½(b1 + b2)
4. Isosceles—see back
1. 2 pairs of consecutive sides congruent
2. 1 pair of opposite angles congruent
3. Diagonals perpendicular
4. Small diagonal bisected
5. Non-congruent angles are bisected