Math, asked by renugupta826082, 7 months ago

NAME THE QUADILATERAL WHOSE DIAGONALS ARE PERPENDICULAR BISECTOR OF EACH OTHER



Square

Rectangle

Trapezium

Kite

Answers

Answered by vedashrihiremath266
1

Answer:

I think it's kite

Step-by-step explanation:

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Answered by Vyomsingh
1

Question:-

NAME THE QUADILATERAL WHOSE DIAGONALS ARE PERPENDICULAR BISECTOR OF EACH OTHER:-

  1. Square
  2. Rectangle
  3. Trapezium
  4. Kite

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Answer:-

Kite.

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Explanation:-

Theorem:-

The diagonals of a kite are the perpendicular bisector of each other.

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Proof

Let ABCD be a kite with AB = AD and CB = CD.

and let the diagonals of the kite meet at M.

Using the theorem about the axis of symmetry of an isosceles triangle,

The bisector AM of the apex angle of the isosceles triangle triangleABD is also the perpendicular bisector of its base BD.

Hence BM = MD and AM ⊥ BD

So AC ⊥ BD

Hence,Prooved...

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