Students in this video, let's learn about Rhombus, Rhombus is also quadrilaterals, that is their
foresighted polygons with some special properties.
All right.
Now, a rhombus is a program.
It is a type of a program, and all the sides are equal in the case of a rhombus.
Let me state one more interesting property about a rhombus.
Rhombus is a kite, but kites are not necessarily parallelograms.
All right.
Let's try to understand these things in greater depth over here.
Let's take an example of a rhombus.
We have ABCDE, which is a rhombus, and you can see that all the sides are equal to this type of a
shape is what we call a rhombus.
And rhombus is a program.
Therefore, Ebbe is parallel to city and B.C. is parallel to it.
Now, what is the difference between a rhombus and a square in a square?
All the internal angles are equal and they're equal to 90 degrees.
Right now.
These angles are not equal to 90 degrees.
That's the difference between a rhombus and a square.
Other than that, all the sides are equal in the case of a square also and a square also is a program.
All right, let's proceed.
Now let's try to analyze the diagonals of a rhombus.
Let me construct the diagonals over here.
That's beauty.
And this is easy.
Now, in the case of a rhombus, the diagonals intersect at 90 degrees and the diagonals are bicyclers
of each other.
To be or is equal to Audy and equal is equal to or C two.
In the case of a rhombus, diagonals are perpendicular bicyclers of one another.
So I'm just listing out various interesting things over here and then we will discuss why logically
this is true so that we can easily retain these facts.
All right.
Now we know that a rhombus is a program and in a pattern of opposite angles are equal.
Right.
Therefore, over here also angle is equal to angle C and angle B is equal to angle be.
All right.
We have seen some interesting properties.
Now let's try to think why this is true.
All right.
Now let's try to take out Triangle E or D and triangle E, B, or let's take these two triangles out.
Let me draw them over here.
So that's odd.
And that's aob if you check these two triangles, you will see that EU is a common sight.
So it all is equal to equal because it's a common sight.
Now you will see that or is equal to be all because a rhombus is a program.
Right.
And in a program the diagonals bisect each other.
So because of that deal will be equal to will be and it is equal to a B it is equal to Abby because
these are two sides of the rhombus.
And remember, in a rhombus, all the sides are equal.
Therefore we see that triangle aob and Triangle Elby are congruent with these two triangles are congruent
therefore.
OK, let me just quickly write what is equal to be so that you have a reference of what we have covered
or will because diagonals bisect each other in the program.
All right.
Now, we have established that these two triangles are congruent and this triangle is congruent.
Triangle B or a aspergillosis rule.
Right.
We have seen that this side is equal to decide the side is equal to this side and is equal to bill to
as parenthesis rule.
These two triangles are congruent.
All right.
Now, let's think about Angle D, that's this angle.
And then, boy, these two will be equal, right?
Because they are corresponding angles of two congruent triangles.
Right.
And when you add these two together, you will get 180 degree because they form a straight angle or
they form a linear pair.
Right now, using these two things together, you get that angle is equal to angle.
Bijoy is equal to 90 degree.
Right.
So that's why we say that the diagonals are perpendicular bicyclers.
The diagonals are bicyclers of each other because the rhombus is a battleground.
And over here, we have seen that they bisect each other at ninety degrees.
So what are all the properties that we have learned about Rhombus?
We have seen that it's a program.
You have seen that all the sides in the case of the rumors are equal, the diagonals are perpendicular
bicyclers.
They are Besiktas of each other because the rhombus is a program and they are perpendicular by sectors
because we have seen that triangle, awadi and AOB are congruent and a rhombus is a quite right because
you have equality and BK's equal to theory.
But remember, a kite is not necessarily a rhombus.