CAT Types of Quadrilaterals - Practice Questions & MCQ

Rectangle: A 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: A 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

Here, d₁ and d₂ ane diagonals of the rhombus.

Square: A 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

Kite: A 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.

Here, d₁ and d₂ ane diagonals of the kite.