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. A rhombus is a four-sided polygon. Noun. The opposite sides of a rhombus are parallel. Opposite sides are parallel to … It is very similar to parallelogram. So if one of the angles is 60°, then the adjacent angle will be 120°. Also, the diagonals of a rhombus bisect these angles. Properties of Rhombus : Opposite sides are parallel. Since all the sides are equal, therefore. If you have a rhombus with four equal interior angles, you have a square. Consecutive angles are supplementary. 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. Vertices are not90∘. All rhombuses are parallelograms, but not all parallelograms are rhombuses. Recall that in a parallelogram each pair of opposite sides are equal in length. All the four sides are equal. Opposite angles are congruent. In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. It is a type of parallelogram. 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. When it "stands up" so it is symmetrical in appearance, (its diagonals are horizontal and vertical) it is usually called a diamond. A rhombus has all the properties of a parallelogram which include, opposite sides are congruent, the opposite angles are congruent, and the diagonals bisect each other. When dealing with a square, the definition is stated as … So remember, a rhombus is just a parallelogram where all four sides are equal. 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. Now, before we discuss rhombus and its properties,  let us know what a quadrilateral is? The diagonals bisect the opposite interior angles. Two consecutive sides are congruent by definition. MathWorld. 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. Also, opposite angles of a rhombus are equal, which means summing up the four angles will give you 360°, i.e. Properties of a rhombus. the number of degrees that can be measured in any quadrilateral. It goes above and beyond that to also have four equal-length sides, but it is still a type of parallelogram. The sum of the interior angles of a quadrilateral is equal to 360 degrees. A rhombus can be referred as a slanting square, whose adjacent sides are equal. The four interior angles of a rhombus always add up to 360°. Check lines of symmetry in rhombus. Properties of Quadrilaterals. No matter how you arrange those four linear objects on your flat surface, you will always have two pairs of equal opposite angles. | Meaning, pronunciation, translations and examples A rhombus is a quadrilateral having four equal sides where the opposite sides are parallel and opposite angles are equal. (context: zoology now rare) Any of several flatfishes once considered part of the genus ''Rhombus''. Properties of a square. It is a special kind of parallelogram whose diagonals intersect each other at 90°. The two diagonals of a rhombus form four right-angled triangles which are congruent to each other. Rhombus definition is - a parallelogram with four equal sides and sometimes one with no right angles. Every rhombus you see will also be a parallelogram, but not every parallelogram you meet will be a rhombus. 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. In other words they "bisect" (cut in half) each other at right angles. 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. 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. Rhombus. The plural form of a rhombus is rhombi or rhombuses. First property of a rhombus – A rhombus is a parallelogram The plural form of a rhombus is rhombi or rhombuses. Square has all of the properties of the parallelogram AND the rectangle AND the rhombus. All rhombuses are parallelograms, but not all parallelograms are rhombuses. We can say, “ Every square is rhombus but all rhombus are not square. In a rhombus, diagonals bisect each other at right angles. You will get a rectangle when you join the midpoint of the sides. All squares are rhombuses, but not all rhombuses are squares. With a rhombus, all four sides are the same length.It therefore has all the properties of a parallelogram. rhombus meaning: 1. a flat shape that has four sides that are all of equal length 2. a flat shape that has four…. Opposite interior angles of a rhombus are congruent. Look at the bottom right angle and the top left angle: they are congruent. These diagonals also cut each other exactly in half. 2. In addition to those four sides, the rhombus has four interior angles. Parallelogram and Rhombus - Animated course (Construction, Circumference, Area) Weisstein, Eric W. "Parallelogram". As the shape of a rhombus is just like that of a diamond, it is also known as diamond. 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. In some mathematical parlance, the shape is also known as a slanting square. Lay the four straight objects out on the flat surface so their eight ends touch in only four places. Formulas, characterizations and properties of rhombus. Now, let's go on to rhombus. Your email address will not be published. The diamond-shaped figure in the playing cards is one of the best examples of a rhombus. 1. Another point to note is that all the sides are slanting and equal in length, which informs its other name. If you just look […] And if a rhomboid has all sides equal, it becomes a rhombus. A quadrilateral is a polygon containing 4 sides and 4 vertices enclosing 4 angles. Squares. So a rhombus is a quadrilateral where four of the sides are congruent. In a rhombus, opposite sides are parallel and the opposite angles are equal. Also opposite sides are parallel and opposite angles are equal. Rhombus definition: A rhombus is a geometric shape which has four equal sides but is not a square . Every square you see will be a rhombus, but not every rhombus you meet will be a square. Another identifying property of a rhombus is that the opposite sides are parallel to each other. 3. 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). Rhombus has all the properties of a … The diagonals bisect each other. Geometricians say they bisect each other. The diagonals bisect the angles. So it really depends on the definition that you're using. What is the perimeter of a rhombus whose sides are all equal to 6 cm? Moreover, all the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles. Definition of Rhomboid. Adjacent angles are supplementary. A rhombus is a quadrilateral with sides of equal length. Definition of Rhombus. Within a rhombus, there can be no inscribing circle. Therefore, the area of rhombus = 36 square units. The formula for the area is equal to the product of diagonals of rhombus divided by 2. The diagonals are perpendicular bisectors of each other. It is a type of parallelogram. The rhombus is also called a diamond or rhombus diamond. 2 Opposites angles are equal. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. 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