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Students in this video, let's learn about Rhombus, Rhombus is also quadrilaterals, that is their

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foresighted polygons with some special properties.

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All right.

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Now, a rhombus is a program.

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It is a type of a program, and all the sides are equal in the case of a rhombus.

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Let me state one more interesting property about a rhombus.

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Rhombus is a kite, but kites are not necessarily parallelograms.

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All right.

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Let's try to understand these things in greater depth over here.

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Let's take an example of a rhombus.

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We have ABCDE, which is a rhombus, and you can see that all the sides are equal to this type of a

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shape is what we call a rhombus.

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And rhombus is a program.

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Therefore, Ebbe is parallel to city and B.C. is parallel to it.

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Now, what is the difference between a rhombus and a square in a square?

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All the internal angles are equal and they're equal to 90 degrees.

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Right now.

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These angles are not equal to 90 degrees.

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That's the difference between a rhombus and a square.

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Other than that, all the sides are equal in the case of a square also and a square also is a program.

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All right, let's proceed.

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Now let's try to analyze the diagonals of a rhombus.

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Let me construct the diagonals over here.

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That's beauty.

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And this is easy.

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Now, in the case of a rhombus, the diagonals intersect at 90 degrees and the diagonals are bicyclers

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of each other.

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To be or is equal to Audy and equal is equal to or C two.

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In the case of a rhombus, diagonals are perpendicular bicyclers of one another.

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So I'm just listing out various interesting things over here and then we will discuss why logically

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this is true so that we can easily retain these facts.

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All right.

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Now we know that a rhombus is a program and in a pattern of opposite angles are equal.

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Right.

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Therefore, over here also angle is equal to angle C and angle B is equal to angle be.

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All right.

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We have seen some interesting properties.

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Now let's try to think why this is true.

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All right.

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Now let's try to take out Triangle E or D and triangle E, B, or let's take these two triangles out.

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Let me draw them over here.

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So that's odd.

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And that's aob if you check these two triangles, you will see that EU is a common sight.

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So it all is equal to equal because it's a common sight.

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Now you will see that or is equal to be all because a rhombus is a program.

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Right.

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And in a program the diagonals bisect each other.

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So because of that deal will be equal to will be and it is equal to a B it is equal to Abby because

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these are two sides of the rhombus.

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And remember, in a rhombus, all the sides are equal.

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Therefore we see that triangle aob and Triangle Elby are congruent with these two triangles are congruent

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therefore.

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OK, let me just quickly write what is equal to be so that you have a reference of what we have covered

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or will because diagonals bisect each other in the program.

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All right.

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Now, we have established that these two triangles are congruent and this triangle is congruent.

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Triangle B or a aspergillosis rule.

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Right.

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We have seen that this side is equal to decide the side is equal to this side and is equal to bill to

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as parenthesis rule.

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These two triangles are congruent.

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All right.

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Now, let's think about Angle D, that's this angle.

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And then, boy, these two will be equal, right?

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Because they are corresponding angles of two congruent triangles.

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Right.

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And when you add these two together, you will get 180 degree because they form a straight angle or

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they form a linear pair.

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Right now, using these two things together, you get that angle is equal to angle.

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Bijoy is equal to 90 degree.

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Right.

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So that's why we say that the diagonals are perpendicular bicyclers.

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The diagonals are bicyclers of each other because the rhombus is a battleground.

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And over here, we have seen that they bisect each other at ninety degrees.

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So what are all the properties that we have learned about Rhombus?

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We have seen that it's a program.

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You have seen that all the sides in the case of the rumors are equal, the diagonals are perpendicular

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bicyclers.

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They are Besiktas of each other because the rhombus is a program and they are perpendicular by sectors

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because we have seen that triangle, awadi and AOB are congruent and a rhombus is a quite right because

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you have equality and BK's equal to theory.

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But remember, a kite is not necessarily a rhombus.