![]() But when we only consider the shape looking from the top or the bottom, it matches the definition of rectangle. When considering the overall shape of a book, it is a cuboid (3D), as it has depth. If you observe a book from the top or the bottom, you will see that it is shaped in the form of a rectangle. Now, let’s look at examples of everyday rectangular shaped objects: books, laptops, table tops, doors, notice boards, and so on. We also learnt the properties of rectangle. We have seen the definition of rectangle as a shape with four sides, with opposite sides being parallel and equal in length. Find examples of square shaped objects in an upcoming section. Thus we have covered the definition of square, and its properties. ![]() The sum of the four interior angles is 4 right angles.The sum of the four exterior angles is 4 right angles.Each diagonal divides the square into two congruent isosceles right-angled triangles.Any two adjacent angles add up to 180°.Diagonals bisect the angles (this is also one of the important properties of rectangle).Opposite sides are equal and parallel (this matches the definition of rectangle as well).This is one of the properties of square that make it different from rectangles. The diagonals bisect each other at 90° or right angles.One of the important properties of square is that the opposite sides are parallel, with all sides being equal.Compare these with the properties of rectangle we learnt above. ![]() Properties of Squareīased on the definition of square, we can understand the following properties. ( Note: A square also fits into the definition of rectangle). Square is a quadrilateral in which all the sides have equal length and all the four corners are at right angles. Opposite sides are parallel and equal in length.Įxamples of rectangular shaped objects are covered in a section below.ĭownload Mensuration Cheat Sheet PDF Below Squares Definition of Square.Compare these with properties of square discussed in an upcoming section: We can summarise the 3 basic properties of rectangle as follows. The diagonals of the rectangle are also congruent to each other and they bisect each other at their point of intersection.Ī rectangle can also be called a quadrilateral as it has 4 sides, but not all quadrilaterals fit the definition of rectangle.įormula for area of rectangle = length × breadth So we can write it as m∠A = m∠B = m∠C = m∠D = 90°.Īnother important one of the properties of rectangle is that the adjacent angles are supplementary. So, one of the properties of rectangle is that all the angles in a rectangle are 90°. Also, side DC and AB are congruent to one another.Īs per definition of rectangle, this figure has four angles. The sides DA and CB have the same length, so it is clear that they are congruent. So in this figure, the opposite lines are parallel to one another. If we look at the other side, we see that AB and DC are also parallel to one another and equal in length. Looking at the above figure we see the opposite sides (DA and CB) are parallel and equal in length. Now that we have seen the definition of rectangle, let’s understand the important properties of rectangle. We’ll learn the definition of square in an upcoming section). It is a 4 sided polygon with opposite sides parallel to each other. The definition of rectangle is given as: a plane shape with four sides. Table of ContentsįAQs on Rectangle and Squares Rectangles Definition of Rectangle Let’s learn more about the definition of rectangle and square, properties of rectangle and square, and formulae like perimeter and area of these two shapes. In geometry, we study these shapes and many other shapes like triangles, circles, ovals, and so on. What is the shape of the carrom board or the chessboard? Is it a square or a rectangle? What about the tiles of the chessboard, and the tiles of the floors in our houses? We are surrounded by rectangular and square shaped objects. ![]() 10.8 Question 8: Is square called a special rectangle? IntroductionĮvery one of us must have played carrom or chess. ![]()
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