1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line. Foldable
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- Samuel Crawford
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1 Four sided polygon
2 1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line. Foldable
3 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!
4 Foldable The fold crease 4. Write QUADRILATERALS down the left hand side
5 Foldable The fold crease 5. Fold over the top cut section and write PARALLELOGRAM on the outside. 6. Reopen the fold.
6 Foldable 7. On the left hand section, draw a parallelogram. 8. On the right hand side, list all of the properties of a parallelogram.
7 Now, Let s review what we learned last class
8 A quadrilateral is a PARALLELOGRAM if and only if it has two sets of parallel sides
9 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
10 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. * Reopen the fold.
11 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.
12 A parallelogram with FOUR RIGHT ANGLES
13 A quadrilateral is a RECTANGLE if and only if it has four right angles
14 Diagonals are Congruent
15 Foldable * Fold over the third cut section and write RHOMBUS 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. 1. Has 4 right angles. 2. Diagonals are congruent. 3. All properties of parallelogram.
16 Foldable * On the left hand section, draw a rhombus. * On the right hand side, list all of the properties 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.
17 A parallelogram with FOUR CONGRUENT SIDES
18 A quadrilateral is a RHOMBUS if and only if it has four congruent sides
19 Diagonals Bisect A Pair of Opposite Angles
20 Diagonals are Perpendicular
21 Foldable * Fold over the fourth cut section and write SQUARE 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. 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.
22 Foldable * On the left hand section, draw a square. * On the right hand side, list all of the properties 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.
23 A parallelogram with FOUR RIGHT ANGLES AND FOUR CONGRUENT SIDES
24 A quadrilateral is a SQUARE if and only if it has four congruent sides and four right angles
25 Holds same properties as Rhombus and Rectangle
26 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 congruent sides and 4 congruent (right) angles 2. All properties of parallelogram, rectangle, and rhombus
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 congruent sides and 4 congruent (right) angles 2. All properties of parallelogram, rectangle, and rhombus
28 ONE PAIR OF PARALLEL SIDES
29 A quadrilateral is a TRAPEZOID if and only if it has ONE pair of parallel sides
30 Leg angle 1 base leg leg Leg angle 2 base Leg angles are supplementary
31 Base (b 1 ) Midsegment =½ (b 1 + b 2 ) Base (b 2 ) Midsegment is ½ the sum of the lengths of the bases
32 base leg leg Base angle 1 base Isosceles: Base angle 2 Base angles are congruent
33 Isosceles: Diagonals are congruent
34 TWO PAIRS OF CONSECUTIVE CONGRUENT SIDES (opposite sides not congruent)
35 A quadrilateral is a KITE if and only if it has two pairs of congruent consecutive sides
36 Diagonals are perpendicular
37 Short diagonal is bisected
38 ONE pair of opposite angles are congruent (not both)
39 The other angles are bisected by the diagonal
40 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 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(b 1 + b 2 ) 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
41 Isosceles Trapezoid: 1. 2 pairs of congruent base angles 2. Diagonals are congruent
42
43 QUADRILATERALS PARALLELOGRAMS RHOMBUSES RECTANGLES Squares
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45 Trapezoids QUADRILATERALS PARALLELOGRAMS RHOMBUSES 1. Diagonals bisect angles 2. Diag. perpendicular 3. 4 equal sides 2. Opposite Angles congruent Squares 3. Opposite Sides parallel RECTANGLES 1. Polygon 2. 4 sides 1. Opposite Sides congruent 1. 4 rt. angles 2. Diagonals congruent 4. Diagonals Bisect 5. Consecutive angles supplementary Kites
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