Question

A quadrilateral whose all sides are equal and has four right angles is called a:
(a)Rectangle
(b)Rhombus
(c)Kite
(d)Square

Answer 1

Hint: First we will look at the properties of all the four given options and then we will find which property matches with quadrilateral having all sides are equal and has four right angles and find the correct option.

Complete step-by-step answer:
Let’s first write the properties of shapes given in the options.
Rectangle: It is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal. It has opposite sides equal.

Rhombus: It is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. Its diagonals intersect each other at 90 degrees.

Kite: It is a quadrilateral whose intersection of the diagonals of a kite form 90 degree (right) angles. 

Square: It is quadrilateral whose all four sides are equal and all the four angles are right angles. It is a special case of a rectangle.

Hence, from this we can say that square is the correct answer.
Therefore, option (d) is correct.

Note: All the properties of the given four shapes are very important and must be kept in mind and they are also related to each other, like a square is a special case of a rectangle where all the four sides are equal.