Is a rectangle a square? Is it always or sometimes or never?
3 Answers
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. In other words rectangle is sometimes a square (when all sides too are equal).
A square is always the rectangle, but a rectangle is a square only when it has all sides equal...
See a solution process below:
Explanation:
Definition of a Rectangle:
A 4-sided flat shape with straight sides where all interior angles are right angles (90°).
Also, opposite sides are parallel and of equal length.
Definition of a Square:
A 4-sided flat shape with straight sides where all interior angles are right angles (90°).
Also, all sides have equal length
As you can see the first part of the definition of a square and rectangle are the same.
However, a square is a special case of a rectangle.
When all 4 sides of a rectangle are equal then the rectangle is a square.
So, a rectangle can also sometimes be a square.
