Axis of symmetry can be considered as a line that divides an object into two equal halves. It creates a mirror-like reflection of both the side of the object.
A rhombus is said to have reflection symmetry over both of its diagonals. The general properties of a parallelogram are as follows:. A rhombus, like all geometric shapes, has properties that are unique to it. The table below describes the properties of a rhombus. For example: if the length of a diagonal is 10 cm and the other diagonal bisects it, then it is divided into two 5 cm diagonals.
If you know the side of the rhombus and the value of certain angles, then you can determine the length of the diagonal. A rhombus is a diamond-shaped quadrilateral that has all four sides equal. We can see rhombus-shaped figures in our day-to-day lives. Some of the real-life examples of a rhombus are shown in the below-given figure: a diamond, a kite, and an earring, etc.
The area of a rhombus can be defined as the amount of space enclosed or encompassed by a rhombus in a two-dimensional plane. Just like a square, all four sides of a rhombus are equal, so, the formula for the perimeter is the product of the length of one side with 4. He asks his sister Linda to help him find the area.
Can you help Linda find the answer? Example 2 : Elsa was given the area of a rhombus and the length of one diagonal.
The area given was square units and the length of a diagonal was 20 units. Can you help Elsa find the length of the other diagonal? Example 3 : Sam and Victor were playing a game of hopscotch and they spotted a rhombus-shaped tile at the playground. Somebody had inscribed 15 units along the length of the tile. Can you help Sam and Victor find the perimeter of the tile? Our xPERT not only curates the most optimized learning path but also tracks your improvement, ensuring that you get to your target Quant score quickly and reliably.
Watch this video to know more:. A parallelogram, as the name suggests, is a simple quadrilateral whose opposite sides are parallel. Thus, it has two pairs of parallel sides. Moreover, the opposite angles in a parallelogram are equal and their diagonals bisect each other. A quadrilateral satisfying the below-mentioned properties will be classified as a parallelogram. A parallelogram has four properties:. These practice questions will help you solidify the properties of parallelogram.
A rhombus is a quadrilateral whose all four sides are equal in length and opposite sides are parallel to each other. A rhombus with right angles would become a square. These practice questions will help you solidify the properties of rhombus.
A trapezium called Trapezoid in the US is a quadrilateral that has only one pair of parallel sides. These practice questions will help you solidify the properties of trapezium.
The below table summarizes the formulas on the area and perimeter of different types of quadrilaterals:. To ace the GMAT a well-defined study plan is required.
Adam wants to build a fence around his rectangular garden of length 10 meters and width 15 meters. How many meters of fence he should buy to fence the entire garden? Steve wants to paint one rectangular-shaped wall of his room.
If the wall is 25 meters long and 18 meters wide, then what is the total cost to paint the wall? We hope by now you would have learned the different types of quadrilaterals, their properties, and formulas and how to apply these concepts to solve questions on quadrilaterals. The application of quadrilaterals is important to solve geometry questions on the GMAT.
If you are planning to take the GMAT, we can help you with high-quality study material which you can access for free by registering here. All sides are congruent by definition.
The diagonals bisect the angles. What are all of the properties of a rhombus? Mar 13, As listed below. Explanation: 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.
Properties of Rhombus : Opposite sides are parallel.
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