1. The document describes how to make a foldable to define and list properties of quadrilaterals. 2. Key quadrilaterals discussed include parallelograms, rectangles, rhombuses, squares, trapezoids, and kites. 3. The foldable involves folding sections to reveal definitions and properties of each quadrilateral type.

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

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

7. Foldable
7. On the left hand
section, draw a
parallelogram.
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. 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
* Fold over the second 1. Opposite sides parallel.
2. Opposite sides congruent.
cut section and write 3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
RECTANGLE on the
5. Diagonals bisect each other.
outside.
* Reopen the fold.

12. Foldable
* On the left hand 1. Opposite sides parallel.
2. Opposite sides congruent.
section, draw a 3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
rectangle. 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

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

15. Diagonals are Congruent

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

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

18. 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

21. Diagonals are Perpendicular

22. Foldable
* Fold over the fourth 1. Opposite sides parallel.
2. Opposite sides congruent.
cut section and write 3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
SQUARE on the 5. Diagonals bisect each other.
outside. 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.

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

27. Foldable
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

28. Foldable
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

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

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

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

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

34. Isosceles:
Diagonals are congruent

35. 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

38. Short diagonal is bisected

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

40. The other angles are bisected
by the diagonal

41. Foldable
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
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

42. Isosceles Trapezoid:
1. 2 pairs of congruent base
angles
2. Diagonals are congruent

44. QUADRILATERALS
PARALLELOGRAMS
RHOMBUSES
RECTANGLES
Squares

45. QUADRILATERALS 1. Polygon
2. 4 sides
PARALLELOGRAMS
1. Opposite Sides congruent
RHOMBUSES
1. Diagonals bisect angles
RECTANGLES
2. Diag. perpendicular
Squares 1. 4 rt. angles
3. 4 equal sides
2. Diagonals
congruent
2. Opposite Angles congruent
3. Opposite Sides parallel 4. Diagonals Bisect
5. Consecutive angles supplementary

46. QUADRILATERALS 1. Polygon
Trapezoids 2. 4 sides
PARALLELOGRAMS
1. Opposite Sides congruent
RHOMBUSES
1. Diagonals bisect angles
RECTANGLES
2. Diag. perpendicular
Squares 1. 4 rt. angles
3. 4 equal sides
2. Diagonals
congruent
2. Opposite Angles congruent
3. Opposite Sides parallel 4. Diagonals Bisect
5. Consecutive angles supplementary
Kites