
What are at least $2$ characteristics of a rhombus?
Answer
528.9k+ views
Hint: For this problem they have asked to write about the two properties of the rhombus. We know that the rhombus is one of the quadrilaterals. So, we will first look at what is quadrilateral and different types of quadrilaterals. Afterwards we will define the quadrilateral rhombus and list the properties of the rhombus.
Complete step-by-step solution:
We know that rhombus is a quadrilateral. The definition of the quadrilateral is given by
Quadrilateral is a two-dimensional enclosed shape which is formed with the help of four-line segments or joining four-line segments such that the formed shape will be closed. The joined four segments are called “Sides or Edges” of the quadrilateral and the points where two-line segments or sides are joining is called “Vertex”.
From the above statement we can say that a quadrilateral has $4$ sides as well as $4$ vertices.
Quadrilaterals are classified based on the angles between the two sides, length of the sides. The different types of quadrilateral are
1. Trapezium
In the trapezium we can observe that one pair of opposite sides are parallel and the two adjacent sides of the trapezium are supplementary. The diagram of the trapezium is given below
2. Parallelogram
In parallelogram the opposite sides are equal and parallel to each other. Due to this property the opposite angles of the parallelogram measures equally. The diagram of the parallelogram is given by
3. Rhombus
All the four sides of the rhombus are equal in length and the opposite sides should be parallel to each other. Hence the opposite angles are of the same measure. The diagram of the rhombus is given below
Hence the two properties of the rhombus are:
1) All four sides or line segments of the rhombus are equal in length.
2) The opposite sides or line segments of the rhombus are parallel to each other.
Note: In this problem we need to write the properties of the rhombus. Sometimes they may ask to distinguish between or write the difference between any two of the quadrilaterals or between a quadrilateral and one of its type.
Complete step-by-step solution:
We know that rhombus is a quadrilateral. The definition of the quadrilateral is given by
Quadrilateral is a two-dimensional enclosed shape which is formed with the help of four-line segments or joining four-line segments such that the formed shape will be closed. The joined four segments are called “Sides or Edges” of the quadrilateral and the points where two-line segments or sides are joining is called “Vertex”.
From the above statement we can say that a quadrilateral has $4$ sides as well as $4$ vertices.
Quadrilaterals are classified based on the angles between the two sides, length of the sides. The different types of quadrilateral are
1. Trapezium
In the trapezium we can observe that one pair of opposite sides are parallel and the two adjacent sides of the trapezium are supplementary. The diagram of the trapezium is given below
2. Parallelogram
In parallelogram the opposite sides are equal and parallel to each other. Due to this property the opposite angles of the parallelogram measures equally. The diagram of the parallelogram is given by
3. Rhombus
All the four sides of the rhombus are equal in length and the opposite sides should be parallel to each other. Hence the opposite angles are of the same measure. The diagram of the rhombus is given below
Hence the two properties of the rhombus are:
1) All four sides or line segments of the rhombus are equal in length.
2) The opposite sides or line segments of the rhombus are parallel to each other.
Note: In this problem we need to write the properties of the rhombus. Sometimes they may ask to distinguish between or write the difference between any two of the quadrilaterals or between a quadrilateral and one of its type.
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