JEE Novice - (28)

Geometry Level 4

Quadrilateral A B C D ABCD has vertices A ( 3 , − 4 ) , B ( 4 , 2 ) , C ( 5 , − 4 ) , D ( 4 , − 10 ) A(3,-4) , B(4,2),C(5,-4),D(4,-10) .What type of quadrilateral is A B C D ABCD more appropriately ?

This question is a part of JEE Novices .

Parallelogram Trapezium Square Kite Rectangle Rhombus

Nihar Mahajan by Nihar Mahajan , 20, India

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1 solution

Siddharth Singh
May 29, 2015

On calculating the sides we get AB=BC=CD=DA = 37 . \text{On calculating the sides we get AB=BC=CD=DA}=\sqrt{37}.

Now this can only happen in a square or a rhombus. \text{Now this can only happen in a square or a rhombus.}

So we come to the length of the diagonals \text{So we come to the length of the diagonals}

Diagonals:BD=12 and AC =2,thus BD is not equal to AC. \text{Diagonals:BD=12 and AC =2,thus BD is not equal to AC.}

This proves that ABCD is a Rhombus. \text{This proves that ABCD is a Rhombus.}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Did the same and got it right

Rama Devi - 6 years ago

What's the condition for kite...
When i plot the given points on graph paper,i got the shape of kite..

Akhil Bansal - 5 years, 9 months ago

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