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Four sided polygon
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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.
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Foldable
2. Now, divide the right
hand section into 5
sections by drawing 4
evenly spaced lines.
The fold crease
3. Use scissors to cut
along your drawn line,
but ONLY to the crease!
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Foldable
4. Write
QUADRILATERALS
down the left hand side
The fold crease
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Foldable
5. Fold over the top cut
section and write
PARALLELOGRAM
on the outside.
The fold crease
6. Reopen the fold.
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Foldable
7. On the left hand
section, draw a
parallelogram.
8. On the right hand
side, list all of the
properties of a
parallelogram.
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Now, Let¶s review what we learnedlast class
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A quadrilateral is a
PARALLELOGRAMif and only if it
has two sets ofparallel sides
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1.BOTH pairs of opposite sides are parallel2.BOTH pairs of opposite sides arecongruent
3. BOTH pairs of opposite angles arecongruent
4.C
onsecutive angles are supplementary
5.diagonals BISECT each other
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Foldable
* Fold over the second
cut section and write
RECTANGLE on the
outside.
* Reopen the fold.
1. Opposite sides parallel.
2. Opposite sides congruent.
3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
5. Diagonals bisect each other.
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Foldable
* On the left hand
section, draw a
rectangle.
* On the right hand
side, list all of the
properties of 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.
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A parallelogram withFOUR RIGHT ANGLES
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A quadrilateral is a
RECTANGLE if andonly if it has four
right angles
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Diagonals are Congruent
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Foldable
* Fold over the third
cut section and write
RHOMBUS on the
outside.
* Reopen the fold.
1. Has 4 right angles.
2. Diagonals are congruent.
3. All properties of parallelogram.
1. Opposite sides parallel.
2. Opposite sides congruent.
3. Opposite angles are congruent.
4. Consecutive angles are supplementary.
5. Diagonals bisect each other.
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Foldable
* On the left hand
section, draw a
rhombus.
* On the right hand
side, list all of theproperties of 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.
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A parallelogram with FOURCONGRUENT SIDES
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A quadrilateral is aRHOMBUS if andonly if it has four
congruent sides
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Diagonals Bisect A Pair ofOpposite Angles
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Diagonals are Perpendicular
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Foldable
* Fold over the fourth
cut section and write
SQUARE on the
outside.
* Reopen the fold.1. Has 4 Congruent sides
2. Diagonals bisect opposite angles.
3. Diagonals are perpendicular.
4. All properties of parallelograms.
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.
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Foldable
* On the left hand
section, draw a square.
* On the right hand
side, list all of theproperties of 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.
1. Has 4 Congruent sides
2. Diagonals bisect opposite angles.
3. Diagonals are perpendicular.
4. All properties of parallelograms.
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A parallelogram with
FOUR RIGHT ANGLES AND FOUR CONGRUENT
SIDES
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A quadrilateral is aSQUARE if and
only if it has fourcongruent sides
and four rightangles
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Holds same properties as
Rhombus and Rectangle
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Foldable
1. 4 congruent sides and 4 congruent
(right) angles
2. All properties of parallelogram,
rectangle, and 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.
1. Has 4 Congruent sides
2. Diagonals bisect opposite angles.
3. Diagonals are perpendicular.
4. All properties of parallelograms.
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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
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ONE PAIR OF PARALLELSIDES
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A quadrilateral is aTRAPEZOID if andonly if it has ONE
pair of parallelsides
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legleg
base
base
Leg angles aresupplementary
Leg angle 1
Leg angle 2
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Base (b2)
Base (b1)
Midsegment is ½ the sum ofthe lengths of the bases
Midsegment=½ (b1 + b2)
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legleg
base
base
Isosceles:Base angles are congruent
Base angle 2Base angle 1
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Isosceles:Diagonals are congruent
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TWO PAIRS OFCONSECUT IVE CONGRUENT
SIDES (opposite sides not congruent)
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A quadrilateral is aKITE if and only ifit has two pairs of
congruentconsecutive sides
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Diagonals are perpendicular
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Short diagonal is bisected
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ONE pair of opposite anglesare congruent (not both)
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The other angles are bisectedby the diagonal
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Foldable
1. One pair of parallel sides
2. Leg angles supplementary
3. Midsegment= ½(b1 + b2)
4. Isosceles²see 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
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
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Isosceles Trapezoid:
1. 2 pairs of congruent base
angles
2. Diagonals are congruent
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QUADRILATERALS
PARALLELOGRAMS
RHOMBUSES
RECTANGLES
Squares
E
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QUADRILATERALS
PARALLELOGRAMS
RHOMBUSES
RECTANGLES
Squares
1. Diagonals bisect angles
2. Diag. perpendicular
3. 4 equal sides
1. Polygon
2. 4 sides
1. 4 rt. angles
2. Diagonals
congruent
5. Consecutive angles supplementary
4. Diagonals Bisect3. Opposite Sides parallel
2. Opposite Angles congruent
1. Opposite Sides congruent
DR L TER L l
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QUADRILATERALS
PARALLELOGRAMS
RHOMBUSES
RECTANGLES
Squares
1. Diagonals bisect angles
2. Diag. perpendicular
3. 4 equal sides
1. Polygon
2. 4 sides
1. 4 rt. angles
2. Diagonals
congruent
5. Consecutive angles supplementary
4. Diagonals Bisect3. Opposite Sides parallel
2. Opposite Angles congruent
1. Opposite Sides congruent
Trapezoids
Kites