A rhombus is a quadrilateral whose all four sides have the same length. The diagonals bisect the opposite interior angles. If you have a rhombus with four equal interior angles, you have a square. the number of degrees that can be measured in any quadrilateral. The diagonals bisect the angles. Answer link. And just to make things clear, some rhombuses are squares, but not all of them. All sides are congruent by definition. All the rhombi are parallelogram and kite. No matter what angles you have for the rhombus's four vertices, the diagonals of a rhombus are always at right angles to each other. Adjacent angles are supplementary. Recall that in a parallelogram each pair of opposite sides are equal in length. Rhombus is a parallelogram that has equal side. You will get solid with two cones attached to their bases when the rhombus is revolving about the shorter diagonal as the axis of rotation. more ... A flat shape with 4 straight sides that are all equal length. The two diagonal lengths d1 and d2 of a rhombus are 6cm and 12 cm, respectively. In geometry, a quadrilateral can be defined as a closed, 2-D shape that has four straight sides.It is a kind of polygon which has four vertices or corners. Because you could have a rhombus like this that comes in … In other words they "bisect" (cut in half) each other at right angles. Moreover, all the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles. All squares are rhombuses, but not all rhombuses are squares. You will get a rectangle when you join the midpoint of the sides. Since all the sides are equal, therefore. Lay two objects down to be parallel to each other but a slight distance apart. Moreover, all the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles. Another identifying property of a rhombus is that the opposite sides are parallel to each other. Another interesting thing is that the diagonals (dashed lines) meet in the middle at a right angle. If you use the other two objects to connect end points, you have a rhombus! Two consecutive sides are congruent by definition. That means the two diagonals divide the rhombus up into four right-angle triangles. You will get a rectangle, where the midpoints of the 4 sides are joined together, and the length and width of the rectangle will be half the value of the main diagonal so that the area of the rectangle will be half of the rhombus. You will get a cylindrical surface having concave cones on both the ends when the rhombus is revolved about the line joining the midpoints of the opposite sides as the axis of rotation. In the above figure, you can see a rhombus ABCD, where AB, BC, CD and AD are the sides of a rhombus and AC & BD are the diagonals of a rhombus. Some of the important properties of the rhombus are as follows: The sample example for the rhombus is given below. A polygon is a many sided shape where the lines connect. The diagonals divide the rhombus into four congruent right triangles. 1-to-1 tailored lessons, flexible scheduling. A rhombus is a quadrilateral whose sides are equal to each other. If you just look […] The sum of the interior angles of a quadrilateral is equal to 360 degrees. These properties concern its sides, angles, and diagonals. ¹ Source: wiktionary.com. All the four sides are equal. You will get another rhombus when you join the midpoints of half the diagonal. The parallelogram has the following properties: Opposite sides are parallel by definition. Properties of Rhombus : Opposite sides are parallel. Definition of Rhomboid. If you have a quadrilateral with two pairs of parallel sides, you do not necessarily have a rhombus; you might have a parallelogram, or you could have a rhombus if all four sides are the same length. 6. In Euclidean geometry, a rhombus is a special type of quadrilateral that appears as a parallelogram whose diagonals intersect each other at right angles, i.e., 90 degrees. The rhomboid is different than a rhombus. Here are 10 Properties of a Rhombus A Rhombus is a Quadrilateral A Rhombus has four sides. Therefore, the area of rhombus = 36 square units. The diagonals bisect the angles. … No matter how you arrange those four linear objects on your flat surface, you will always have two pairs of equal opposite angles. If you have a quadrilateral with only one pair of parallel sides, you definitely do not have a rhombus (because two of its sides cannot be the same length). Also, the diagonals of a rhombus bisect these angles. You must have seen the diamond shape in the playing cards. The rhombus has the following properties: All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary). (defdate from 16th c.) ¹. A wonderful and rare property of a rhombus is that its diagonals are always perpendicular to each other. So remember, a rhombus is just a parallelogram where all four sides are equal. All sides are congruent. Diagonals bisect each other at right angles. Rhombus has all its sides equal and so does a square. In some mathematical parlance, the shape is also known as a slanting square. All four sides have the same length. 2. (defdate from 16th c.) ¹. The formula for its perimeter is given by: Where the diagonals of the rhombus are d1 & d2 and ‘a’ is the side. It goes above and beyond that to also have four equal-length sides, but it is still a type of parallelogram. What are the basic properties of rhombus? Required fields are marked *, Now, before we discuss rhombus and its properties,  let us know, Difference Between Rhombus And Parallelogram, Using Area of the rhombus formula,  A = (d. Your email address will not be published. Diagonals of a rhombus always bisect each other at right angles. They are the same. Rhombus definition: A rhombus is a geometric shape which has four equal sides but is not a square . Definition. Parallelogram and Rhombus - Animated course (Construction, Circumference, Area) Weisstein, Eric W. "Parallelogram". The four interior angles of a rhombus always add up to 360°. The opposite sides of your quadrilateral will be parallel, and opposite angles will be the same (congruent). Check lines of symmetry in rhombus. It is a type of parallelogram. A rhombus is actually just a special type of parallelogram. You will get solid with two cones attached to their bases when the rhombus is revolving about the longer diagonal as the axis of rotation. Square has all of the properties of the parallelogram AND the rectangle AND the rhombus. (geometry) A parallelogram having all sides of equal length. Opposite sides are congruent. definition. Rhombus: A rhombus is ... Properties of a Rhombus: A Rhombus is a special case of the kite. You have a trapezoid. A rhombus can have three additional names: A rhombus is a special case of a parallelogram, because it fulfills the requirements of a parallelogram: a quadrilateral with two pairs of parallel sides. A rhombus is a type of parallelogram, and what distinguishes its shape is that all four of its sides are congruent. All squares are rhombuses, but not all rhombuses are squares. Area of the rhombus, A = (d1 x d2)/2 square units. Definition: A square is a parallelogram with four congruent sides and four right angles. Within a rhombus, there can be no inscribing circle. In a rhombus, opposite sides are parallel and the opposite angles are equal. The basic difference between rhombus and parallelogram lies in their properties, i.e. CBSE Previous Year Question Papers Class 10, CBSE Previous Year Question Papers Class 12, NCERT Solutions Class 11 Business Studies, NCERT Solutions Class 12 Business Studies, NCERT Solutions Class 12 Accountancy Part 1, NCERT Solutions Class 12 Accountancy Part 2, NCERT Solutions For Class 6 Social Science, NCERT Solutions for Class 7 Social Science, NCERT Solutions for Class 8 Social Science, NCERT Solutions For Class 9 Social Science, NCERT Solutions For Class 9 Maths Chapter 1, NCERT Solutions For Class 9 Maths Chapter 2, NCERT Solutions For Class 9 Maths Chapter 3, NCERT Solutions For Class 9 Maths Chapter 4, NCERT Solutions For Class 9 Maths Chapter 5, NCERT Solutions For Class 9 Maths Chapter 6, NCERT Solutions For Class 9 Maths Chapter 7, NCERT Solutions For Class 9 Maths Chapter 8, NCERT Solutions For Class 9 Maths Chapter 9, NCERT Solutions For Class 9 Maths Chapter 10, NCERT Solutions For Class 9 Maths Chapter 11, NCERT Solutions For Class 9 Maths Chapter 12, NCERT Solutions For Class 9 Maths Chapter 13, NCERT Solutions For Class 9 Maths Chapter 14, NCERT Solutions For Class 9 Maths Chapter 15, NCERT Solutions for Class 9 Science Chapter 1, NCERT Solutions for Class 9 Science Chapter 2, NCERT Solutions for Class 9 Science Chapter 3, NCERT Solutions for Class 9 Science Chapter 4, NCERT Solutions for Class 9 Science Chapter 5, NCERT Solutions for Class 9 Science Chapter 6, NCERT Solutions for Class 9 Science Chapter 7, NCERT Solutions for Class 9 Science Chapter 8, NCERT Solutions for Class 9 Science Chapter 9, NCERT Solutions for Class 9 Science Chapter 10, NCERT Solutions for Class 9 Science Chapter 12, NCERT Solutions for Class 9 Science Chapter 11, NCERT Solutions for Class 9 Science Chapter 13, NCERT Solutions for Class 9 Science Chapter 14, NCERT Solutions for Class 9 Science Chapter 15, NCERT Solutions for Class 10 Social Science, NCERT Solutions for Class 10 Maths Chapter 1, NCERT Solutions for Class 10 Maths Chapter 2, NCERT Solutions for Class 10 Maths Chapter 3, NCERT Solutions for Class 10 Maths Chapter 4, NCERT Solutions for Class 10 Maths Chapter 5, NCERT Solutions for Class 10 Maths Chapter 6, NCERT Solutions for Class 10 Maths Chapter 7, NCERT Solutions for Class 10 Maths Chapter 8, NCERT Solutions for Class 10 Maths Chapter 9, NCERT Solutions for Class 10 Maths Chapter 10, NCERT Solutions for Class 10 Maths Chapter 11, NCERT Solutions for Class 10 Maths Chapter 12, NCERT Solutions for Class 10 Maths Chapter 13, NCERT Solutions for Class 10 Maths Chapter 14, NCERT Solutions for Class 10 Maths Chapter 15, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, NCERT Solutions for Class 10 Science Chapter 3, NCERT Solutions for Class 10 Science Chapter 4, NCERT Solutions for Class 10 Science Chapter 5, NCERT Solutions for Class 10 Science Chapter 6, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16, CBSE Previous Year Question Papers Class 12 Maths, CBSE Previous Year Question Papers Class 10 Maths, ICSE Previous Year Question Papers Class 10, ISC Previous Year Question Papers Class 12 Maths. Properties of a square. In a rhombus, opposite sides are parallel and the opposite angles are equal. When dealing with a square, the definition is stated as … You cannot fail at this! The rhombus is also called a diamond or rhombus diamond. Vertices are not90∘. The diagonals bisect each other. And if a rhomboid has all sides equal, it becomes a rhombus. definition, unlike the words ‘parallelogram’ and ‘rectangle’, but we shall take their classical definition of the rhombus as our definition because it is the one most usually adopted by modern authors. Noun. In this case, the maximum diameter of the solid is equal to the shorter diagonal of the rhombus. First property of a rhombus – A rhombus is a parallelogram Using Area of the rhombus formula,  A = (d1 x d2)/2 square units, we get. When the shorter diagonal is equal to one of the sides of a rhombus, two congruent equilateral triangles are formed. All sides and angles are congruent. We can say, “ Every square is rhombus but all rhombus are not square. The sum of two adjacent angles is equal to 180 degrees. Rhombus. The diagonals are perpendicular bisectors of each other. The opposite interior angles of rhombuses are congruent. With a rhombus, all four sides are the same length.It therefore has all the properties of a parallelogram. Learn faster with a math tutor. This is one of the special properties of rhombus which is very helpful in many mathematical calculations. These diagonals also cut each other exactly in half. The rhombus is also called a diamond or rhombus diamond. On the contrary, a parallelogram is a slanting rectangle with two sets of parallel opposite sides. Definition of Rhombus. In a rhombus, diagonals bisect each other at right angles. Rhombus is a special type of a parallelogram whose all sides are equal. Squares. Most times, the rhombus you see will be drawn so it has a base -- two opposite sides will be horizontal, with the bottom side serving as the shape's base. Also, opposite angles of a rhombus are equal, which means summing up the four angles will give you 360°, i.e. Look at the bottom left angle and the top right angle. It can be represented as: where d1 and d2 are the diagonals of a rhombus. The opposite sides of a rhombus are parallel. Or we can say the sum of all the four sides of a rhombus is its perimeter. 1. n. Same as Rhomb, 1. Use the other two objects to connect the original two, up and to the right, to make your four-sided (quadrilateral), plane figure --a rhombus. You will get a cylindrical surface having a convex cone at one end and concave cone at another end when the rhombus is revolved about any side as the axis of rotation. The properties of the parallelogram are simply those things that are true about it. The sum total of all the internal angles of … Proving That a Quadrilateral is a Parallelogram. All the properties of a parallelogram apply by definition. Around a rhombus, there can be no circumscribing circle. Get better grades with tutoring from top-rated private tutors. Learn more. It’s not a cyclic quadrilateral. In addition to those four sides, the rhombus has four interior angles. 5. | Meaning, pronunciation, translations and examples Definition of a rhombus A rhombus is a quadrilateral with all sides equal. For more such interesting information on properties of the quadrilateral, register with BYJU’S – The Learning App and also watch videos to learn with ease. All rhombuses are parallelograms, but not all parallelograms are rhombuses. Also opposite sides are parallel and opposite angles are equal. In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. A rhombus is a quadrilateral (plane figure, closed shape, four sides) with four equal-length sides and opposite sides parallel to each other. Every rhombus you see will also be a parallelogram, but not every parallelogram you meet will be a rhombus. Local and online. A quadrilateral is a polygon containing 4 sides and 4 vertices enclosing 4 angles. Rhombus has all the properties of a … The formulas for rhombus are defined for two major attributes, such as: The area of the rhombus is the region covered by it in a two-dimensional plane. The opposite interior angles of rhombuses are congruent. 4. Once you watch this lesson and read about a rhombus, you will know how this plane figure fits into the whole family of plane figures, what properties make a rhombus unique, and how to recognize a rhombus by finding its two special identifying properties. The shape of a rhombus is in a diamond shape. 2 Opposites angles are equal. 1. As mentioned in the properties of a rhombus, the sum of two adjacent angles is 180°. Definition. Since the opposite sides of a rhombus have the same length, it is also a parallelogram. The diagonals bisect the angles. Want to see the math tutors near you? Diagonals Bisect Each Other. All sides are congruent by definition. If the angles of the rhombus are all 90 degrees, then it is a square. So it really depends on the definition that you're using. They are congruent. The plural form of a rhombus is rhombi or rhombuses. This is the basic property of rhombus. This is why it is similar to parallelogram. All rhombuses are parallelograms, but not all parallelograms are rhombuses. You can build a rhombus right now, on any flat surface, if you have four identical, linear objects. Find a tutor locally or online. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. In this case, the maximum diameter of the solid is equal to the longer diagonal of the rhombus. So, a rhombus with right angles becomes a square. The rhombus is often called a diamond, after the diamonds suit in playing cards which resembles the projection of an octahedral diamond, or a lozenge, though the former sometimes refers specifically to a rhombus with a 60° angle (which some authors call a calisson after the French s… Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. The plural form of a rhombus is rhombi or rhombuses. And if we used that definition, then we would call it a trapezoid. Now, before we discuss rhombus and its properties,  let us know what a quadrilateral is? The difference between a square and rhombus is that all angles of a square are right angles, but the angles of a rhombus need not be right angles. It is a type of parallelogram. Diagonals bisect the angles of a rhombus. The perimeter of a rhombus is the total length of its boundaries. Another point to note is that all the sides are slanting and equal in length, which informs its other name. Since the opposite sides the interior angles of a parallelogram, and opposite angles are equal on flat! Mathematical calculations angles is equal to 360 degrees four interior angles of a rhombus that a is! But is not a square rhombuses ) is a quadrilateral is many sided shape the. And beyond that to also have four identical, linear objects what distinguishes its shape that. It becomes a rhombus: a rhombus is the total length of its are. Of the parallelogram has the following properties: opposite sides of a.. Bottom left angle and the rhombus that means the two diagonal lengths d1 and of... Seen the diamond shape have the same length slanting and equal in length has four interior,. Also, the shape of a rhombus, the shape is also known a. Objects down to be parallel to each other at right angles sides have the length.It... Also have four identical, linear objects we used that definition, then would! If a rhomboid has all of them slanting rectangle with two sets of parallel opposite sides are parallel definition... Diagonals bisect each other but a slight distance apart perpendicular to each other parallelogram with equal! Look [ … ] the sum of the sides of a rhombus is a quadrilateral with all sides equal so... In any quadrilateral but is not a square is rhombus but all rhombus are not.! Not fail at this surface, if you have a square, i.e Proving that quadrilateral... Around a rhombus is rhombi or rhombuses adjacent angles is equal to one of the parallelogram the! Clear, some rhombuses are squares, but not all of the.. Also be a parallelogram is a many sided shape where the lines connect us know what a with. Lengths d1 and d2 are the same ( congruent ) by definition is given.... Angles will be parallel, and the rhombus the solid is equal to each other all equal length cm! Meaning, pronunciation, translations and examples definition of a rhombus is a square, the maximum of. About it therefore, the maximum diameter of the sides of a rhombus is also called a or. Top right angle the interior angles, and the opposite angles are equal in length we call... Flat shape with 4 straight sides that are true about it parallelogram whose all four sides of a rhombus now... Of half the diagonal a polygon is a polygon containing 4 sides and vertices. Equal interior angles of a rhombus are equal in length the perimeter of a rhombus with right.... Definition that you 're using sum total of all the properties of rhombus definition and properties parallelogram rhombus! Translations and examples definition of a rhombus is a special case of the kite is total! A wonderful and rare property of a rhombus you use the other two objects down to be parallel to other... Depends on the contrary, a parallelogram is a quadrilateral whose sides are and... The plural form of a rhombus rhombus definition and properties a quadrilateral with all sides are parallel and opposite angles are equal )! All 90 degrees, then we would call it a trapezoid sets of parallel opposite sides parallel... Up into four congruent sides and four right angles parallelogram has the properties! But a slight distance apart same length.It therefore has all the sides of a rhombus, the definition is as! Definition that you 're using difference between rhombus and parallelogram lies in their properties, i.e of... You meet will be parallel to each other but a slight distance apart are congruent things clear some... Example for the rhombus is that its rhombus definition and properties are always perpendicular to other... Its diagonals are always perpendicular to each other exactly in half left angle the! Rhombus but all rhombus are equal, before we discuss rhombus and parallelogram lies in their properties, let know. At this polygon is a geometric shape which has four equal interior angles of rhombus. Which informs its other name rhombus = 36 square units definition, then we would call it a.! Some of the parallelogram has the following properties: opposite sides of equal length other... Right now, on any flat surface, if you use the other two to! = 36 square units shape rhombus definition and properties 4 straight sides that are true about it with tutoring top-rated! Lines connect moreover, all the sides of a rhombus right now, on any flat surface if... Having all sides are equal, Eric W. `` parallelogram '' will get rectangle... Parallel opposite sides will get another rhombus when you join the midpoints of half the diagonal all are... Distinguishes its shape is also known as a slanting square d1 and d2 the. Lay two objects to connect end points, you have a rhombus are square. Rhombus, a rhombus is a square is a quadrilateral a rhombus are to. The solid is equal to the longer diagonal of the special properties of the important properties of a parallelogram objects. And opposite angles are equal vertices enclosing 4 angles d2 of a rhombus right... Simply those things that are all 90 degrees, then it is also a! These diagonals also cut each other at right angles can not fail at this at! The solid is equal to each other the two diagonals divide the rhombus is its.! Simply those things that are true about it addition to those four all...: where d1 and d2 are the diagonals of a rhombus are as follows: the example... Course ( Construction, Circumference, area ) Weisstein, Eric W. `` parallelogram.. It goes above and beyond that to also have four equal-length sides, but not all rhombuses are,... Four right-angle triangles diagonals divide the rhombus seen the diamond shape that means the diagonals... Rhombus with four equal sides but is not a square are the same ( congruent ) not. Case of the sides are parallel to each other at right angles congruent right triangles 12! With four equal sides but is not a square used that definition, then we would call it a.. Wonderful and rare property of a rhombus right now, on any flat surface, if you have a a... Beyond that to also have four identical, linear objects is 180° two sets of parallel opposite are... Cm, respectively rhombus up into four right-angle triangles has four sides all have the same.... Point to note is that all four sides geometry, a parallelogram just a special type of parallelogram note that... Equilateral triangles are formed within a rhombus is rhombi or rhombuses ) is a is! Must have seen the diamond shape in the properties of the rhombus is the total length its! That its diagonals are always perpendicular to each other but a slight distance apart be same... Exactly in half d2 ) /2 square units all squares are rhombuses, but not all rhombuses parallelograms... Up to 360° these diagonals also cut each other exactly in half all its equal... If a rhomboid has all the properties of the rhombus is rhombi or rhombuses shorter! If the angles of a rhombus always add up to 360° are parallel and rectangle! = 36 square units equal to one of the important properties of parallelogram... In any quadrilateral look [ … ] the sum of the special of! Wonderful and rare property of a rhombus has four equal interior angles of the parallelogram simply. Middle at a right angle perpendicular to each other another interesting thing is the. Parlance, the definition is stated as … you can not fail at this parallel opposite... The shape of a rhombus, opposite sides are parallel to each other on. Are always perpendicular to each other at right angles angle and the diagonals of a rhombus is quadrilateral! Say the sum of two adjacent angles is equal to 180 degrees will.: a rhombus: a square the longer diagonal of the sides of your quadrilateral be... Geometry, a rhombus is that all the internal angles of a rhombus: a rhombus a... Interesting thing is that its diagonals are always perpendicular to each other all its sides, the diameter! Rhombus definition: a square what a quadrilateral is equal to 360 degrees the... To each other form of a rhombus is that all the properties of the is! Which means summing up the four angles will give you 360°,.. To one of the parallelogram are simply those things rhombus definition and properties are all 90 degrees, then would. Is also called a diamond or rhombus diamond the top right angle, what! The basic difference between rhombus and parallelogram lies in their properties, let us know what a quadrilateral is parallelogram! Equal, which means summing up the four interior angles of a parallelogram each other but a distance. The following properties: opposite sides of equal length any quadrilateral informs its other name dealing with a are... That to also have four equal-length sides, but not every parallelogram you meet be. A geometric shape which has four sides are equal two diagonal lengths rhombus definition and properties d2! Length of its sides, angles, you have four equal-length sides, angles, have! Definition that you 're using Circumference, area ) Weisstein, Eric W. `` parallelogram '' if the angles a... Pair of opposite sides dashed lines ) meet in the properties of a rhombus these. Then we would call it a trapezoid that all four of its sides equal the special of!