
Say true or false:
All the sides of a rhombus are of equal length
A) True
B) False
Answer
555.3k+ views
Hint:
In this question we are asked about the properties of the rhombus that is if it has sides of equal length or not. For approaching such kinds of questions we need to first keep in mind the properties of the rhombus. Which would be the key to solve such kinds of questions easily and correctly and these kinds of questions are a basic check on your handling of the basic concepts. So let us check whether the above given statement is true or false in the complete step by step solution.
Complete step by step solution:
So here we are given a statement that all the sides of the rhombus of equal length and we are asked if the statement is true or false
So for solving the above question we should know the properties of the rhombus that are –
The rhombus is a type of quadrilateral it is a parallelogram whose diagonals intersect each other at right angle
The all sides of the rhombus are equal and the opposite angles of the rhombus are equal
Also the angles of the rhombus are bisected by the diagonals
The two diagonals of a rhombus form four right angled triangles which are congruent to each other
A rectangle is formed if we join the mid points of the sides
So as we saw from the above properties that all the sides of the rhombus are equal so the statement given in the question that is- All the sides of a rhombus are of equal length
is true so the option A, True is the correct answer.
Note:
While approaching such kind of questions one should know about the properties of the rhombus and some other related facts to the rhombus that are a square is also a type of the rhombus as a square and rhombus have equal sides to each other but the only fact separating the rhombus and square is that in square all angles are equal to each other while in rhombus the opposite angles are only equal to each other.
In this question we are asked about the properties of the rhombus that is if it has sides of equal length or not. For approaching such kinds of questions we need to first keep in mind the properties of the rhombus. Which would be the key to solve such kinds of questions easily and correctly and these kinds of questions are a basic check on your handling of the basic concepts. So let us check whether the above given statement is true or false in the complete step by step solution.
Complete step by step solution:
So here we are given a statement that all the sides of the rhombus of equal length and we are asked if the statement is true or false
So for solving the above question we should know the properties of the rhombus that are –
The rhombus is a type of quadrilateral it is a parallelogram whose diagonals intersect each other at right angle
The all sides of the rhombus are equal and the opposite angles of the rhombus are equal
Also the angles of the rhombus are bisected by the diagonals
The two diagonals of a rhombus form four right angled triangles which are congruent to each other
A rectangle is formed if we join the mid points of the sides
So as we saw from the above properties that all the sides of the rhombus are equal so the statement given in the question that is- All the sides of a rhombus are of equal length
is true so the option A, True is the correct answer.
Note:
While approaching such kind of questions one should know about the properties of the rhombus and some other related facts to the rhombus that are a square is also a type of the rhombus as a square and rhombus have equal sides to each other but the only fact separating the rhombus and square is that in square all angles are equal to each other while in rhombus the opposite angles are only equal to each other.
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