## Give reason square is a parallelogram​

Question

Give reason square is a parallelogram​

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1 month 2021-08-20T16:04:55+00:00 2 Answers 0 views 0

A parallelogram is a quadrilateral with opposite sides equal

opposite sides are parallel

Opposite sides are congruent

Opposite angels are congruent

Consecutive angles are supplementary

If one angle is right, then all angles are right.

The diagonals of a parallelogram bisect each other.

Each diagonal of a parallelogram separates it into two congruent triangles.

A square has all these characteristics of parallelogram  therefore a square is a parallelogram

but a parallelogram is not a square

Step-by-step explanation:

2. A Parallelogram has certain properties as per below:

1. Opposite sides are parallel to each other
2. Diagonally Opposite angles are same
3. Diagonals bisect each other
4. When you draw two diagonals, 4 Triangles are formed and opposite Triangles are congruent to each other
5. Given the lengths of two diagonals and the angle at the meeting point, area could be determined
6. Now take a Square and check for yourself, against 5 properties as stated above, if you can call that (Square) a Parallelogram. Now you will not be surprised to see that Square is indeed a Parallelogram.
7. Remember, Every Square is a Quadrilateral but every Quadrilateral is not a Square.
8. Every Square is a Rectangle but every Rectangle is not a Square.
9. Every Square is a Rhombus but every Rhombus is not a Square.
10. Every Square is a Parallelogram but every Parallelogram is not a Square