Quadrilaterals
Polygons with four sides
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.
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!
Foldable
4. Write
QUADRILATERALS
down the left hand side
The fold crease
Foldable
5. Fold over the top cut
section and write
PARALLELOGRAM
on the outside.
The fold crease
6. Reopen the fold.
Foldable
7. On the left hand
section, draw a
parallelogram.
1. Opposite angles are congruent.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent triangles.
8. On the right hand
side, list all of the
properties of a
parallelogram.
Foldable
* Fold over the second
cut section and write
RECTANGLE on the
outside.
* Reopen the fold.
1. Opposite angles are congruent.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent triangles.
Foldable
* On the left hand
section, draw a
rectangle.
1. Opposite angles are congruent.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent triangles.
* On the right hand
side, list all of the
properties of a
rectangle.
1.Is a special type of parallelogram.
2. Has 4 right angles
3. Diagonals are congruent.
Foldable
* Fold over the third
cut section and write
RHOMBUS on the
outside.
* Reopen the fold.
1. Opposite angles are congruent.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent triangles.
1.Is a special type of parallelogram.
2. Has 4 right angles
3. Diagonals are congruent.
Foldable
* On the left hand
section, draw a
rhombus.
1. Opposite angles are congruent.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent triangles.
* On the right hand
side, list all of the
properties of a
rhombus.
1.Is a special type of parallelogram.
2. Has 4 right angles
3. Diagonals are congruent.
1. Is A Special type of Parallelogram
2. Has 4 Congruent sides
3. Diagonals are perpendicular.
4. Diagonals bisect opposite angles
Foldable
* Fold over the third
cut section and write
SQUARE on the
outside.
* Reopen the fold.
1. Opposite angles are congruent.
2. Consecutive angles are
supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent
triangles.
1.Is a special type of parallelogram.
2. Has 4 right angles
3. Diagonals are congruent.
1. Is A Special type of Parallelogram
2. Has 4 Congruent sides
3. Diagonals are perpendicular.
4. Diagonals bisect opposite angles
Foldable
* On the left hand
section, draw a square.
1. Opposite angles are congruent.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Diagonals bisect each other.
5. Diagonals make 2 congruent triangles.
* On the right hand
side, list all of the
properties of a square.
* Place in your
notebook and save for
tomorrow.
1.Is a special type of parallelogram.
2. Has 4 right angles
3. Diagonals are congruent.
1. Is A Special type of Parallelogram
2. Has 4 Congruent sides
3. Diagonals are perpendicular.
4. Diagonals bisect opposite angles
1. Is a parallelogram, rectangle, and
rhombus
2. 4 congruent sides and 4 congruent
Foldable
(right) angles
The last Box will be
Other Quadrilaterals:
Regular
Trapezoids
Kites
Irregular trapezoid
Quadrilaterals
Characteristics Of Other
Quadrilaterals
 All trapezoids
 Exactly 1 pair of parallel sides
 360 degrees
 Regular Trapezoids:
 Exactly 1 pair of parallel sides
 360 degrees
 Consecutive angles total 180 degrees
 Base angles are congruent
Characteristics Of Other
Quadrilaterals
 All quadrilaterals
 4 sides
 360 degrees
 Kites
 Adjacent sides congruent
 Diagonals perpendicular
Types of Quadrilaterals
 Parallelogram: Quadrilateral with
opposite sides that are parallel and of
equal length and opposite angles are
equal
Indicates equal sides
Types of Quadrilaterals
 Rectangle: Quadrilateral with two
pairs of equal sides and four right
angles (90 degrees)
Indicates equal sides
Box indicates 900
angle
Types of Quadrilaterals
 Rhombus: Parallelogram with four
equal sides and opposite angles equal
Indicates equal sides
Types of Quadrilaterals
 Square: Quadrilateral with four
equal sides and four right angles
(90 degrees)
Indicates equal sides
Box indicates 900
angle
Types of Quadrilaterals
 Trapezoid: Quadrilateral with one
pair of parallel sides
Parallel sides never
meet.
Types of Quadrilaterals
 Irregular shapes: Quadrilateral
with no equal sides and no equal
angles
Name the Quadrilaterals
1
2 3
4 5 6
rectangle irregular rhombus
parallelogram trapezoid square
Interior Angles
 Interior angles: An interior angle
(or internal angle) is an angle
formed by two sides of a simple
polygon that share an endpoint
 Interior angles of a quadrilateral
always equal 360 degrees
Prepared BY: Sanyam Gandotra
Class: VIII
Roll No. 32
(Kendriya Vidyalaya Jyotipuram)

Quadilateral

  • 1.
  • 2.
    Foldable 1. Take outa piece of notebook paper and make a hot dog fold over from the right side over to the pink line.
  • 3.
    Foldable 2. Now, dividethe 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!
  • 4.
    Foldable 4. Write QUADRILATERALS down theleft hand side The fold crease
  • 5.
    Foldable 5. Fold overthe top cut section and write PARALLELOGRAM on the outside. The fold crease 6. Reopen the fold.
  • 6.
    Foldable 7. On theleft hand section, draw a parallelogram. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. 8. On the right hand side, list all of the properties of a parallelogram.
  • 7.
    Foldable * Fold overthe second cut section and write RECTANGLE on the outside. * Reopen the fold. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles.
  • 8.
    Foldable * On theleft hand section, draw a rectangle. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. * On the right hand side, list all of the properties of a rectangle. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent.
  • 9.
    Foldable * Fold overthe third cut section and write RHOMBUS on the outside. * Reopen the fold. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent.
  • 10.
    Foldable * On theleft hand section, draw a rhombus. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. * On the right hand side, list all of the properties of a rhombus. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent. 1. Is A Special type of Parallelogram 2. Has 4 Congruent sides 3. Diagonals are perpendicular. 4. Diagonals bisect opposite angles
  • 11.
    Foldable * Fold overthe third cut section and write SQUARE on the outside. * Reopen the fold. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent. 1. Is A Special type of Parallelogram 2. Has 4 Congruent sides 3. Diagonals are perpendicular. 4. Diagonals bisect opposite angles
  • 12.
    Foldable * On theleft hand section, draw a square. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. * On the right hand side, list all of the properties of a square. * Place in your notebook and save for tomorrow. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent. 1. Is A Special type of Parallelogram 2. Has 4 Congruent sides 3. Diagonals are perpendicular. 4. Diagonals bisect opposite angles 1. Is a parallelogram, rectangle, and rhombus 2. 4 congruent sides and 4 congruent Foldable (right) angles
  • 13.
    The last Boxwill be Other Quadrilaterals: Regular Trapezoids Kites Irregular trapezoid Quadrilaterals
  • 14.
    Characteristics Of Other Quadrilaterals All trapezoids  Exactly 1 pair of parallel sides  360 degrees  Regular Trapezoids:  Exactly 1 pair of parallel sides  360 degrees  Consecutive angles total 180 degrees  Base angles are congruent
  • 15.
    Characteristics Of Other Quadrilaterals All quadrilaterals  4 sides  360 degrees  Kites  Adjacent sides congruent  Diagonals perpendicular
  • 16.
    Types of Quadrilaterals Parallelogram: Quadrilateral with opposite sides that are parallel and of equal length and opposite angles are equal Indicates equal sides
  • 17.
    Types of Quadrilaterals Rectangle: Quadrilateral with two pairs of equal sides and four right angles (90 degrees) Indicates equal sides Box indicates 900 angle
  • 18.
    Types of Quadrilaterals Rhombus: Parallelogram with four equal sides and opposite angles equal Indicates equal sides
  • 19.
    Types of Quadrilaterals Square: Quadrilateral with four equal sides and four right angles (90 degrees) Indicates equal sides Box indicates 900 angle
  • 20.
    Types of Quadrilaterals Trapezoid: Quadrilateral with one pair of parallel sides Parallel sides never meet.
  • 21.
    Types of Quadrilaterals Irregular shapes: Quadrilateral with no equal sides and no equal angles
  • 22.
    Name the Quadrilaterals 1 23 4 5 6 rectangle irregular rhombus parallelogram trapezoid square
  • 23.
    Interior Angles  Interiorangles: An interior angle (or internal angle) is an angle formed by two sides of a simple polygon that share an endpoint  Interior angles of a quadrilateral always equal 360 degrees
  • 24.
    Prepared BY: SanyamGandotra Class: VIII Roll No. 32 (Kendriya Vidyalaya Jyotipuram)