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CAT Types of Quadrilaterals - Practice Questions & MCQ

Edited By admin | Updated on Oct 04, 2023 04:20 PM | #CAT

Quick Facts

  • 6 Questions around this concept.

Solve by difficulty

rectangle is a quadrilateral that has all four angles equal to 90. (True/False)

In a rectangle, both diagonals bisect each other at 90°. (True/False)

Each angle of a rectangle is a/an:

Concepts Covered - 1

Types of Quadrilaterals

Rectangle:rectangle is a parallelogram that has all four angles equal to 90 .

A summary of the properties of a rectangle is:

  • Both pairs of opposite sides are parallel.
  • Both pairs of opposite sides are of equal length.
  • Both diagonals bisect each other.
  • Diagonals are equal in length.
  • All angles at the corners are right angles.

Area of rectangle = Length × Breadth

Length of the rectangle = AB

Length of the Breadth = BC

Rhombus: rhombus is a parallelogram that has all four sides of equal length.

A summary of the properties of a rhombus is:

  • Both pairs of opposite sides are parallel.
  • All sides are equal in length.
  • Both pairs of opposite angles are equal.
  • Both diagonals bisect each other at 90 .
  • Diagonals of a rhombus bisect both pairs of opposite angles.

Area of rhombus when base and height are given

Area = Base × Height

    

Area of rhombus when the length of diagonals are given

\text{Area of rhombus }=\frac{1}{2}\times d_1\times d_2

Here, d1 and d2 ane diagonals of the rhombus.

Square: square is a rhombus that has all four angles equal to 90.

A summary of the properties of a square is:

  • Both pairs of opposite sides are parallel.
  • All sides are equal in length.
  • All angles are equal to 90 .
  • Both pairs of opposite angles are equal.
  • Both diagonals bisect each other at 90 .
  • Diagonals are equal in length.
  • Diagonals bisect both pairs of opposite angles (ie. all 45 ).

Area of square = a × a = a2

a = side of a square.

If diagonal, d of a square is given, then

 \text{Area of square }=\frac{1}{2}\times d\times d=\frac{1}{2}\times d^2

Kite: kite is a quadrilateral with two pairs of adjacent sides equal. Quadrilateral ACBD is a kite, in which AC = CB and AD = DB

A summary of the properties of a kite is:

  • Two pairs of adjacent sides are equal in length.
  • One pair of opposite angles are equal where the angles are between unequal sides.
  • One diagonal bisect the other diagonal and one diagonal bisect one pair of opposite angles.
  • Diagonals intersect at right-angles.

\text{Area of kite }=\frac{1}{2}\times d_1\times d_2

Here, d1 and d2 ane diagonals of the kite.

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