The similarities in the properties of a square and a rectangle can help us draw a conclusionto the query "Is square a rectangle".In Geometry, we have learned about different types of shapes such as square, rectangle, cylinder, rhombus, cuboid, cube, cone, parallelogram,and so on. Many of these shapes share certain common properties.Square and rectangle are examples ofsuch two-dimensional shapes.Theyboth fall under the category of quadrilaterals.
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|1.||Square Vs Rectangle|
|2.||Properties of Square and Rectangle|
|3.||What Makes Square a Special Rectangle?|
|4.||FAQs on Is a Square a Rectangle|
Square vs Rectangle
Square: Asquareis a two-dimensional plane figure with four equal sides, four interior right angles, and four corners.In other words, a square isa quadrilateral or a 4-sided polygon. All the angles are of equal measure, thereforeit is considered as an equiangular quadrilateral.
Rectangle: A rectangleis a two-dimensional figure with four sides, four interior right angles,and four corners. The opposites sides of a rectangle are equal. A rectangle has four angles, with each angle measuring 90º. Similar to asquare, a rectangle is also referred to as an equiangular quadrilateral.
Let us have a look at the image given here to understand a square and a rectangle better.
Since both a square and a rectangle have an equal number of sides, i.e., 4, we thus can conclude that both square and rectangleare quadrilaterals. We can observe the similarities in the properties of both a square and a rectangle in the following section.
Properties of Square and Rectangle
Both a square and a rectangle have certain special properties that distinguish them from a general quadrilateral. We can draw the comparison of the requisite properties of both the shapes from the following table and conclude whether a square has all the properties that define a rectangle.
How Are Square And Rectangles Alike?
From the comparison drawn above for the common properties shared between a square and a rectangle, we observe that a square has all the properties that define a rectangle, which makes them alike in a certain manner. This means that a square can also be referred to as a type of rectangle.
Thus, we can finally conclude that yes, a square is a rectangle.
What Makes Square a Special Rectangle?
Yes, asquare is a special type of rectangle because it possesses all the properties of a rectangle. Similar to a rectangle, a square has:opposite sides that areparallel and equal.two diagonals that bisect each other and are equal.
A square is called a special kind of rectangle because it possessessome additional properties which do not applytorectangles. They are:All four sides of a square are equal.Diagonals of a square bisect each at right angles.
Given below are a few important notes on the topic is a square a rectangle.
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Try thinking out of the box to answer the following:Is every four-sided figure a quadrilateral?Are all rectangles squares?Are all rhombuses squares?Is a square a trapezoid?Is a square a parallelogram?