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Students in this video, let's discuss about squares now, what is the square?

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The square is a shape like this where you have every side equal.

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So this is equal to a this is equal to this is equal to it.

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And this is equal to it.

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And each of these angles is equal to 90 degrees.

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And you will see that these two sides are parallel to each other and these two sides are parallel to

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each other.

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This type of a shape is what we call a square.

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Now, a square is a rectangle with equal sides.

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So every square is a rectangle, but a rectangle is not square.

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Right.

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So what is a rectangle?

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We have seen that a rectangle is a shape like this where every angle is 90 degrees and opposite sides

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are parallel and equal.

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Right.

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So if this is a this is it.

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If this is B, this is B, you can see that A square is a special type of rectangle where these sides

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are all equal.

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All right, let's press on.

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So we have seen what we mean with the square and we have seen that it's a rectangle with equal sides.

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All right.

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Now, in a rectangle, the diagonals are equal, right?

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We have already discussed that.

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Therefore, in a square also, the diagonals are equal.

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All right.

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Now, there is an additional thing that we can understand when we are dealing with the square, and

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that is that the diagonals are perpendicular bicyclers of each other in the case of a rectangle.

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We have seen that the diagonals are bicyclers of each other and the diagonals are equal.

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Right.

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In the case of a parlor game itself, the diagonals are bicyclers of each other.

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Now, in the case of a square, the diagonals are equal and they are perpendicular sectors of each other.

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Let's try to understand this very important property over here.

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I have square ABCDE.

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Now let the length of the side of the square, be it.

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Now let's quickly take a side note and discuss what would be the area and perimeter of the square.

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The area would be into it and the perimeter for it.

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Right.

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Because this, this and this side is also equal to it.

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That's where the perimeter is for it.

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And the area of a rectangle is side to side.

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Right.

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So over here, all the sides are.

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That's why it's into it, which is a square.

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All right.

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Now let's come back to diagnose of a square.

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Let me construct the diagonals of this square, ABCDE.

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That's easy and beauty.

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All right.

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Now, let them intersect at point all over here.

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Now let's see that triangle E or D, that is this triangle over here is congruently triangle A or B.

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Let's prove that that's Asper as rule.

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Why is that so?

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It is a common sight.

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Right.

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And it is equal to B because each side of the square is equal to eight and you will see that already

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is equal to orby because the diagonals bisect each other in the case of a rectangle and we have seen

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that square is a special type of rectangle.

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So as far as this rule, these two triangles are congruent with each other.

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Therefore, I can say that this angle over here and this angle over here that is angle awadi is equal

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to angle.

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It will be because they are corresponding angles of these two congruent triangles.

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Also, we can see from the diagram that angle awadi plus angle it will be is equal to 180 degree because

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they form a straight angle or these two angles, former linear pair.

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Therefore putting these two things together, we can find that angle awadi is equal to angle.

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It will be that's equal to 90 degrees.

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So these two angles are 90 degrees and that's why we say that diagonals of a square are perpendicular

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bicyclers of each other.