WBBSE Solutions For Class 8 Maths Geometry Chapter 1 Revision Of Quadrilateral

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Geometry Chapter 1 Revision

Trapezium: A trapezium is a quadrilateral that has only one pair of opposite sides are parallel.

 

WBBSE Solutions For Class 8 Maths Geometry Chapter 1 Revision Trapezium

∴ ABCD is a trapezium whose AB || BC.

WBBSE Solutions For Class 8 Maths Geometry Chapter 1 Revision Of Quadrilateral

Parallelogram: A parallelogram is a quadrilateral whose both pairs of opposite sides are parallel with each other.

WBBSE Solutions For Class 8 Maths Geometry Chapter 1 Revision Parallelogram

 

∴ ABCD is a parallelogram whose AB || DC and AD || BC.

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Rhombus: Rhombus is a parallelogram in which one pair of adjacent sides are equal in length.

WBBSE Solutions For Class 8 Maths Geometry Chapter 1 Revision Rhombus

∴ ABCD is Rhombus whose AB = BC = CD = DA.

Rectangle: Rectangle is a parallelogram whose one angle is right angle.

WBBSE Solutions For Class 8 Maths Geometry Chapter 1 Revision Rectangle

∴ ABCD is rectangle whose AB || DC, AD || BC and ∠BAD 90°

Square: Square is a rectangle in which one pair of adjacent sides are equal in length.

WBBSE Solutions For Class 8 Maths Geometry Chapter 1 Revision Square

∴ ABCD is a square whose AB = BC = CD = DA and ∠BAD = 90°

Properties:

Trapezium: Only one pair of opposite sides are parallel.

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Parallelogram:

  1. Length of opposite sides are equal.
  2. Measurement of opposite angles are equal.
  3. Diagonals bisect each other.

Rhombus:

  1. Length of all sides are equal.
  2. Measurement of opposite angles are equal.
  3. Diagonals bisect each other perpendicularly.

Rectangle:

  1. Length of opposite sides are equal.
  2. Length of diagonals are equal.
  3. Diagonals bisect each other.

Square:

  1. Length of all sides are equal.
  2. Measurement of each angle is 90°.
  3. Length of diagonals are equal.
  4. Diagonal bisect each other perpendicularly.

Geometry Chapter 1 Revision Examples

Example 1. Draw a parallelogram ABCD where AB = 4 cm, BC = 6 cm, and ∠ABC = 45°.

Solution:

WBBSE Solutions For Class 8 Maths Geometry Chapter 1 Revision Draw A Parallelogram ABCD Where AB = 4cm, BC = 6cm And Angle ABC = 45 Degrees

I drew a parallelogram ABCD where AB = DC = 4 cm, BC = AD = 6 cm and ∠ABC = 45°

Example 2. Draw a rectangle ABCD where AB = 3.5 cm, BC = 4.6 cm.

Solution:

WBBSE Solutions For Class 8 Maths Geometry Chapter 1 Revision Draw A Rectangle ABCD Where AB = 3.5cm, BC = 4.6cm

I draw a rectangle ABCD where AB = DC = 3.5 cm, BC = AD = 4.6 cm and ∠ABC = 90°

Example 3. Draw a rhombus PQRS where PR = 8 cm, and QS = 6 cm.

Solution:

WBBSE Solutions For Class 8 Maths Geometry Chapter 1 Revision Draw A Rhombus PQRS Where PR = 8cm, QS = 6cm

⇒ The diagonal of a rhombus bisect each other perpendicularly.

⇒ I drew a rhombus PQRS where diagonal PR = 8 cm and diagonal QS = 6 cm.

Example 4. Draw a square ABCD where length of diagonal is 7 cm.

Solution:

WBBSE Solutions For Class 8 Maths Geometry Chapter 1 Revision Draw A Square ABCD Where Length Of Diagonal Is 7cm

⇒ Diagonals of a square bisect each other perpendicularly.

⇒ I drew a square where AC = BD = 7 cm.

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