The properties of a rectangle distinguish it from the other quadrilaterals. A rectangle is an equiangular quadrilateral in which the opposite sides are parallel and equal to each other and all four angles are right angles. The longer side of a rectangle is called its length and the shorter side is the width. Show
What are the Properties of a Rectangle?The properties of a rectangle help us identify the figure at one glance. A rectangle is a two-dimensional figure with four sides, four vertices, and four angles. The opposite sides of a rectangle are equal in length and are parallel to each other. Since a rectangle is a quadrilateral in which all four angles are equal to each other, the angle formed by its adjacent sides is 90°. Observe the rectangle given below to see that the four sides of a rectangle are not equal, only the opposite sides are equal. Some of the real-life examples of a rectangle that we see in our daily life are kites, paintings, slabs, storage boxes, and so on. In order to understand the rectangle better, observe the rectangle given above and relate to the following properties of a rectangle.
Formulas of a RectangleThere are three main formulas of a rectangle that need to be remembered. They are related to the area of a rectangle, the perimeter of a rectangle, and the length of the diagonal.
Types of RectanglesA rectangle has four sides with the opposite sides equal to each other and with the adjacent sides meeting at 90°. These properties are seen in the two types of rectangles - the Square and the Golden Rectangle. Square A square is a type of rectangle with four equal sides and four equal angles. It is a two-dimensional shape where the interior angles at each vertex are 90°. Along with these properties, the opposite sides of a square are equal and parallel and the diagonals bisect each other at 90°. It can be said that all squares are rectangles but all rectangles cannot be squares. Golden Rectangle The golden rectangle is a rectangle whose sides are in the golden ratio, that is, (a + b)/a = a/b, where 'a' is the width and (a + b) is the length of the rectangle. In other words, a golden rectangle is a rectangle whose 'length to width ratio' is similar to the golden ratio, 1: (1+⎷ 5)/2. For example, if the length is around 1 foot long then the width will be 1.168 feet long or vice-versa where the Golden Ratio = 1: 1.618. Observe the following figure which shows the golden rectangle and its length and width. ☛ Related Articles
Examples on the Properties of a Rectangle
go to slidego to slidego to slide Great learning in high school using simple cues Indulging in rote learning, you are likely to forget concepts. With Cuemath, you will learn visually and be surprised by the outcomes. Book a Free Trial Class FAQs on Properties of RectangleWhat are the Properties of a Rectangle?The basic properties of a rectangle are that its opposite sides are parallel and equal and its interior angles are equal to 90°. Its diagonals are also equal and they bisect each other. What are the Properties of the Diagonals of a Rectangle?The properties of the diagonal of a rectangle are as follows:
Is a Square a Rectangle?Yes, a square is considered as a rectangle as it contains the properties of a rectangle, like, all the four interior angles are 90°, the opposites sides of a square are parallel and equal to each other, and two diagonals of the square are equal and bisect each other. What is the Difference Between a Square and a RectangleSquares have some additional properties which do not apply to rectangles. A square has four equal sides, whereas, in a rectangle, only the opposite sides are equal. The diagonals of a square bisect at 90°, but the diagonals of a rectangle do not bisect at 90°. What are the Various Types of Quadrilaterals other than Rectangles?The various types of quadrilaterals other than rectangles are squares, rhombus, kite, parallelogram, and a trapezoid. Why is a Rectangle not a Square?A rectangle does not have all four sides of equal measure. This is the reason that a rectangle is not a square. What is a Rectangle?A rectangle is a two-dimensional shape (2D Shape) with four sides, four angles, and four vertices. The opposite sides of a rectangle are equal and parallel to each other. The interior angles of a rectangle are equal and measure 90°. What are 3 characteristics of rectangle?The fundamental properties of rectangles are:. A rectangle is a quadrilateral.. The opposite sides are parallel and equal to each other.. Each interior angle is equal to 90 degrees.. The sum of all the interior angles is equal to 360 degrees.. The diagonals bisect each other.. Both the diagonals have the same length.. Which is not a characteristic of a rectangle?Not all rectangles are squares.
What are 4 attributes of a rectangle?All of the figures have 4 sides and 4 vertices with opposite sides parallel and congruent. They have four right angles, so they also have perpendicular line segments. All of the figures above are rectangles.
What are the characteristics of rectangle and square answer?Definition of Square and Rectangle
In other words, a square is considered a quadrilateral or a 4-sided polygon. Since all the angles are of equal measure, it is considered an equiangular quadrilateral. Rectangle: A rectangle is a quadrilateral with four sides. The opposite side of a rectangle is parallel to each other.
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