 Questions & Answers    Question Answers

# Give reasons for the following:Square is also a parallelogram.  Answer Verified
Hint: Square has all sides equal and opposite sides parallel to each other.

In a square, all sides are equal, alternate sides of a square are at right angled i.e. perpendicular to each other and opposite sides parallel.
In a parallelogram, all sides are equal and opposite sides parallel.
So, we conclude that a parallelogram cannot always be called a square as there is no stringent rule about the angle between two alternate sides. But if that angle becomes equal to, then it becomes a square. Hence, square is an example of a parallelogram when the angle between alternate sides becomes $90^0$.

Note: For this type of problem, always try to keep in mind the constraints required. Here we saw the constraints to be a square and a parallelogram. Thus, on comparing both, we figured out the reason.
Bookmark added to your notes.
View Notes
Square Root of 10  What is Square Root?  Completing the Square  Probability For Class 10  Circle  Statistics For Class 10  Trigonometry for Class 10  Polynomial for Class 10  Square  Coordinate Geometry For Class 10  