Properties of Kites
Now we will see properties of kite shape as quadrilateral, now we know that kite is a special quadrilateral, what is the condition? The adjacent sides will be equal. That is just to show that in a diagram, I will show you kite like this which is ABCD, these two sides are equal that is AB and AD are equal and these two sides are equal, which is BC and CD are equal. So in a kite, adjacent sides are equal. Now let’s understand this in a better way, now to get a kite, let’s do an activity, an interesting one, take a rectangular paper like this, and along this line fold this rectangular paper just once, now, draw two line segments of different lengths like this, AB and BC now cut the paper along the these lines and then open it up, what you getting is nothing but a kite, because, now you will get a diagram, you will get a sheet of paper if you cut like this, which is the where these two sides are equal that is AB and AD are equal, these two sides are equal, that is BC and CD. So now along these diagonals, fold both diagonals of the kite, if you trying doing this you will understand that there is one like this and one like this and you observe you will understand that diagonals are cut at right angles, so diagonals in a kite are perpendicular to each other . you will also understand that one of the diagonal will bisect the other one, and if you use the same kite and if you fold it and check diagonals, you will see that B and D are equal and angle B is equal to angle D and A and D actually A and D ( it is C not D )are not equal. So what is that the things you observed in and note it down? What is that you will get? In a kite, diagonals are perpendicular to each other that is an important property of a kite, diagonals are perpendicular to each other, one of the diagonals will bisect the other one, and angle B equal to angle D and A not equal to C.