![]() ![]() This means if a polygon has four equal sides and all its interior angles are 90°, it can be identified as a square. How to Identify a Square shape?Ī square can be identified as a polygon that consists of four equal sides and all the interior angles are 90º. However, a square can be a rhombus because all the sides in a rhombus are of equal length and a square fulfills this property. No, a rhombus cannot be a square because all interior angles of the square are equal to 90º but all interior angles of a rhombus may not necessarily be equal to 90º. Yes, a square is a polygon because it is a closed shape that consists of four sides and four vertices and a polygon is a closed shape joined end-to-end with straight lines. The diagonals of a square are perpendicular to each other.The diagonals of a square bisect each other.The diagonals of a square are equal in length.The properties of a square related to the diagonal are listed below: What are the Properties of the Diagonal of a Square? A square is also considered to be a rectangle because all its angles measure 90° and its opposite sides are equal and parallel.The opposite sides of a square are parallel to each other.All four sides of the square are equal to each other.All four interior angles of a square are equal and each measures 90°.The basic properties of a square are listed below: A square, in geometry, can also be defined as a parallelogram because it has two opposite sides that are parallel to each other. It has four equal angles that measure 90° each. Step 8: PQRS is a square in which all the sides are 6 cm and all the angles are 90°.įAQs on Square and Properties of Square What is a Square in Geometry?Ī square is a four-sided regular polygon which is also known as a quadrilateral with four equal sides.Step 7: Join the points R and S and then P and S to get the square PQRS.Keeping the same length, draw another arc keeping R as the center such that it intersects the arc created from point P. Step 6: Using the compass with the same length of 6 cm, draw an arc from point P and draw an arc above.Step 5: Set the compass such that it measures 6 cm and draw an arc from point Q across QW and named it R.This is a perpendicular that is drawn on the line segment PQ. The point where the arcs meet is named W. Step 3: Keep the compass on points U and V and draw arcs above point Q such that they intersect each other.Now, take the compass and keeping Q as the center draw one arc on line segment PQ and another arc of the same length on the extended side as shown in the figure. Step 2: Extend the line segment PQ in one direction, say to the right.Step 1: Draw a line segment PQ of 6 cm.For example, if we need to draw a square in which all the sides are of 6 cm. The following steps show how to construct a square. The basic construction of a square can be done using a ruler and a compass. Thus, the diagonal of a square formula is: Diagonal of Square (d) = √2 × a Taking square root on both sides gives, √(d 2) = √( 2a 2). We can use the Pythagoras theorem for the triangle ADC: d 2 = a 2 + a 2 Following the square given above, let 'a' be the side length and 'd' be the diagonal length of a square. Let us see how the formula for the diagonal of a square is derived. A diagonal cuts a square into two equal right triangles and each diagonal forms the hypotenuse of the right-angled triangles so formed. Observe that the lengths of the lines AC and BD are the same. In the following square, AC and BD are the diagonals of the square. The diagonal of a square is a line segment that joins any two of its non-adjacent vertices. It is expressed in linear units like cm, m, inches, and so on. Therefore, Perimeter of Square = (4 × Side). Perimeter of a square = side + side + side + side. We can use the formula of the perimeter of a square to find the length of its boundary. Since a square has four sides, we must add all the four sides of a square to find its perimeter. Therefore, the perimeter of a square can be calculated by adding the length of all the sides. The perimeter of a square is the total length of its boundary. It is expressed in square units like cm 2, m 2, and so on. The formula for the area of a square is expressed as, Area of square = s 2 where 's' is the side of the square. We can use the formula of the area of a square to find the space occupied by these objects. Some examples of square shapes are chessboard, square wall clock, etc. The area of a square is the space occupied by it. Let us learn these square formulas in detail. The first one is to calculate its area, the second is to calculate its perimeter and the third is the diagonal of a square formula. There are three basic square formulas that are commonly used in geometry. We know that a square is a four-sided figure with equal sides.
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