Question

•Question:-

→prove that square is a quadrilateral.​

Answer 1

Step-by-step explanation:

In Euclidean geometry, a quadrilateral is a four-sided 2D figure whose sum of internal angles is 360°. The word quadrilateral is derived from two Latin words ‘quadri’ and ‘latus’ meaning four and side respectively. Therefore, identifying the properties of quadrilaterals is important when trying to distinguish them from other polygons.

So, what are the properties of quadrilaterals? There are two properties of quadrilaterals:

1. A quadrilateral should be closed shape with 4 sides.
2. All the internal angles of a quadrilateral sum up to 360°

Square is a quadrilateral with four equal sides and angles. It’s also a regular quadrilateral as both its sides and angles are equal. Just like a rectangle, a square has four angles of 90° each. It can also be seen as a rectangle whose two adjacent sides are equal.

Properties of a square:

For a quadrilateral to be a square, it has to have certain properties. Here are the three properties of squares:

1. All the angles of a square are 90°.
2. All sides of a square are equal and parallel to each other.
3. Diagonals bisect each other perpendicularly.

Thus, from above explanation we can conclude that square is a quadrilateral.

Answer 2

Answer:

If a quadrilateral has four congruent sides and four right angles, then it's a square (reverse of the square definition). If two consecutive sides of a rectangle are congruent, then it's a square (neither the reverse of the definition nor the converse of a property).Square is a quadrilateral with four equal sides and angles. It's also a regular quadrilateral as both its sides and angles are equal. Just like a rectangle, a square has four angles of 90° each.