# Is every square is a rectangle?

## Is every square is a rectangle?

(ii) A square is a quadrilateral with all 4 angles right angles and all 4 sides of same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all 4 angles right angles.

Is a square always a rectangle True or false?

A rectangle is a quadrilateral, all of whose angles are equal i.e. right angles. Square, apart from all equal angles, also has all sides equal. Hence, square is a special case of rectangle. A square is always the rectangle, but a rectangle is a square only when it has all sides equal…

### How do you prove a square is a rectangle?

Definition: A square is a quadrilateral with all four angles right angles and all four sides of the same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles.

Why is every square a rectangle class 8?

It is given as: Square consists of four sides all having equal length. Then all the four angles of square are right angle i.e. 90∘ . Thus, every square is a rectangle because it is a quadrilateral with all four angles right angles.

## What is the truth about square and rectangle?

The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

What is the difference between rectangle and square?

### Is square similar to rectangle justify?

Answer: yes square is similar to rectangle. because rectangle is a polygon as well as square is also a polygon. rectangle is made up of 4 line segments as well as square is also made up of 4 line segments.

Why a square can be considered as a special rectangle?

(a) We know that in a rectangle, opposite sides are equal and each angle is a right angle. If all its side are equal, then it becomes square. So, a square can be thought of as a special rectangle. If its opposite angles are right angles, then it becomes a rectangle.

## What does a square and a rectangle have in common?

Both a square and a rectangle may have their four angles at 90° , have parallel opposite sides with the same length , and have their diagonals equal in length, but only a square has four sides of equal length.

Does a rectangle and a square have the same area?

In conclusion, it is evident that the square will always have more area than the rectangle. Furthermore, the mathematical proof behind this is that: In a rectangle, we are removing a square number from the total area. However, with a square, every portion of the area stays: The rectangle cannot completely cover the square.

### Can you prove that a square is a rectangle?

So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length.