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Special Quadrilaterals

Special Quadrilaterals. Quadrilateral. Four sided polygon. 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. The fold crease. Foldable.

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Special Quadrilaterals

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  1. Special Quadrilaterals

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

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

  7. QUADRILATERALS 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. 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. QUADRILATERALS Foldable * Fold over the second cut section and write RECTANGLE on the outside. 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. QUADRILATERALS Foldable * 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. RECTANGLE A parallelogram with FOUR RIGHT ANGLES

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

  15. RECTANGLE Diagonals are Congruent

  16. QUADRILATERALS Foldable * Fold over the third cut section and write RHOMBUS on the outside. 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. QUADRILATERALS Foldable * 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. RHOMBUS A parallelogram with FOUR CONGRUENT SIDES

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

  20. RHOMBUS Diagonals Bisect A Pair of Opposite Angles

  21. RHOMBUS Diagonals are Perpendicular

  22. QUADRILATERALS Foldable * Fold over the fourth cut section and write SQUARE on the outside. 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. QUADRILATERALS Foldable * 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. SQUARE 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. SQUARE Holds same properties as Rhombus and Rectangle

  27. QUADRILATERALS 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 TRAPEZOID KITE

  28. QUADRILATERALS 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. Trapezoid ONE PAIR OF PARALLEL SIDES

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

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

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

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

  34. Trapezoid leg leg Isosceles: Legs are congruent

  35. Trapezoid Isosceles: Diagonals are congruent

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

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

  38. KITE Diagonals are perpendicular

  39. KITE Short diagonal is bisected

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

  41. KITE The other angles are bisected by the diagonal

  42. 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. 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

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

  44. Let's make a Venn Diagram Relating all of the Properities of our quadrilaterals

  45. QUADRILATERALS PARALLELOGRAMS RHOMBUSES RECTANGLES Squares

  46. 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 4. Diagonals Bisect 3. Opposite Sides parallel 5. Consecutive angles supplementary

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

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