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Slide 1:

Name- Gulshan Sahu Class-8 th Roll no-40 Subject- Maths Guided by- G.P.Pandey

Slide 2:

Special Quadrilaterals Sect 5.10, 5.11, 5.12

Slide 3:

Quadrilateral 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 QUADRILATERALS

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

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

Slide 9:

Now, Let’s review what we learned last class

Slide 10:

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

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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

Foldable:

Foldable * Fold over the second cut section and write RECTANGLE on the outside. QUADRILATERALS RECTANGLE * 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.

Foldable:

Foldable * On the left hand section, draw a rectangle. QUADRILATERALS * 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.

Slide 14:

RECTANGLE A parallelogram with FOUR RIGHT ANGLES

Slide 15:

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

Slide 16:

RECTANGLE Diagonals are Congruent

Foldable:

Foldable * Fold over the third cut section and write RHOMBUS on the outside. QUADRILATERALS RHOMBUS * 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.

Foldable:

Foldable * On the left hand section, draw a rhombus. QUADRILATERALS * 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.

Slide 19:

RHOMBUS A parallelogram with FOUR CONGRUENT SIDES

Slide 20:

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

Slide 21:

RHOMBUS Diagonals Bisect A Pair of Opposite Angles

Slide 22:

Diagonals are Perpendicular RHOMBUS

Foldable:

Foldable * Fold over the fourth cut section and write SQUARE on the outside. QUADRILATERALS SQUARE * 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.

Foldable:

Foldable * On the left hand section, draw a square. QUADRILATERALS * 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.

Slide 25:

SQUARE A parallelogram with FOUR RIGHT ANGLES AND FOUR CONGRUENT SIDES

Slide 26:

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

Slide 27:

SQUARE Holds same properties as Rhombus and Rectangle

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Foldable QUADRILATERALS 1. 4 congruent sides and 4 congruent (right) angles 2. All properties of parallelogram, rectangle, and rhombus 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.

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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

Slide 30:

Trapezoid ONE PAIR OF PARALLEL SIDES

Slide 31:

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

Slide 32:

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

Slide 33:

Trapezoid Base (b 2 ) Base (b 1 ) Midsegment is ½ the sum of the lengths of the bases Midsegment =½ (b 1 + b 2 )

Slide 34:

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

Slide 35:

Trapezoid Isosceles: Diagonals are congruent

Slide 36:

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

Slide 37:

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

Slide 38:

KITE Diagonals are perpendicular

Slide 39:

KITE Short diagonal is bisected

Slide 40:

The-End

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