Question

all properties of square​

Answer 1

1. all sides are equal and opposite side parallel to each other.
2. each angle 90°
3. diagonal bisect each other at 90°
4. diagonal of a square is always equal.

perimeter of square= 4×side.

area=side square.

Answer 2

Explaination

The most important properties of a square are listed below:

All four interior angles are equal to 90°

All four sides of the square are congruent or equal to each other

The opposite sides of the square are parallel to each other

The diagonals of the square bisect each other at 90°

The two diagonals of the square are equal to each other

The square has 4 vertices and 4 sides

The diagonal of the square divide it into two similar isosceles triangles.

Area of the square is equal to the side squared

Area = side2 per square unit

The perimeter of the square is equal to the sum of all its four sides.

Perimeter = 4 × side of the square

The length of the diagonals of the square is equal to s√2, where s is the side of the square. As we know, the length of the diagonals is equal to each other. Therefore, by Pythagoras theorem, we can say, diagonal is the hypotenuse and the two sides of the triangle formed by diagonal of the square, are perpendicular and base.

Since, Hypotenuse2 = Base2 + Perpendicular2

Hence, Diagonal2 = Side2 + Side2

Diagonal = 2side2−−−−−√

d = s√2

Where d is the length of the diagonal of a square and s is the side of the square.