Or wondered about what really is a rhombus? Okay, so have you ever speculated about the difference between a rectangle and a square? Learn more about quadrilaterals from toppr guides.Jenn, Founder Calcworkshop ®, 15+ Years Experience (Licensed & Certified Teacher)Īnd in today’s geometry class, we’re going to dive deep into Rectangles, Rhombi, and Squares! This was all about the properties of a Parallelogram, Rhombus, Rectangle, and Square. It is ordered on the basis of properties that we have discussed so far. So, by now you must have an answer to your doubt about the hierarchal order.
Quadrilateralġ) All the properties of a parallelogram.ģ) Diagonals are perpendicular bisectors of each other.Īll the properties of a parallelogram, rectangle and a rhombus. Let’s summarize all we have learned till now. Property 2: The diagonals of a square are of equal length and perpendicular bisectors of each other. Property 1: In a square, every angle is a right angle. So, to get the properties of a square just sum up all the properties you have learned so far.
Since the square is the last one in the hierarchy, therefore, it must have all the properties of a parallelogram, rectangle, and rhombus. Square:Ī rectangle with sides of equal length is called a square. AO = CO and BO = DO and ∠AOB =∠BOC = ∠COD = ∠DOA = 90°. Property 2: The diagonals of a rhombus are perpendicular bisectors of one another i.e. Property 1: All sides are of equal length i.e. So, as it says a rhombus is also a parallelogram which means it has also inherited all the properties of a parallelogram and it is having all sides equal other than that. Rhombus:Ī parallelogram with sides of equal length is called a rhombus. So, these were all properties of a rectangle being a parallelogram. Property 3: The diagonals of a rectangle bisect each other (at the point of their intersection). Property 2: The diagonals of a rectangle are of equal length i.e. Property 1: A rectangle is a parallelogram in which every angle is a right angle i.e. So, this means a rectangle has inherited all the properties of a parallelogram and in addition to that it is having all angles equal.Īnd ∠A =∠B = ∠C = ∠D (All angles are equal) Rectangle:Ī rectangle is a parallelogram with equal angles. Now, let’s get to the heir of the hierarchy i.e. So, these were properties of a parallelogram, quite easy! Property 3: The diagonals of a parallelogram bisect each other (at the point of their intersection) i.e. AE = CE and BE = DE. Property 2: The opposite angles of a parallelogram are of equal measure i.e. ∠A =∠C and ∠B = ∠D. Property 1: The opposite sides of a parallelogram are of equal length i.e. So, a parallelogram is a quadrilateral which has opposite sides parallel. See reviews of Toppr by our Students Parallelogram:Īs the name says, it must have something parallel. Don’t worry, you will find the answer to this yourself once we complete all the properties.įirstly, let’s discuss the head i.e.
On what basis these all quadrilaterals follow this kind of hierarchy? There must be something common or relating property which makes them follow such a hierarchal order. So, now there must be a question in your mind i.e. So, let’s finish this very easy topic in a very short time today and here only.ĭid you know that quadrilaterals like parallelogram, rhombus, rectangle, square also have a hierarchy? Let’s make it more clear with the help of a representation. The properties of a Parallelogram, Rhombus, Rectangle, and Square appears to be intimidating until you don’t try to learn them.
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