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Question
If the ratio of sides (taken in order) of a quadrilateral is a:b:b:a, then it is a 
Options:
A .  kite
B .  cyclic quadrilateral
C .  parallelogram
D .  square
Answer: Option A
:
A
Here, the ratio is given to be a:b:b:a.
If The Ratio Of Sides (taken In Order) Of A Quadrilateral Is...If KLMJis a quadrilateral, the sides are in the ratio a:b:b:a.
Let KL= a, LM= b, MJ= b and JK= a.
Here, JK and LM are equal and LM and MJ are equal.
We know that,kite is a quadrilateral with two pairs of adjacent sides equal in length.
The data given implies that we have two disjoint pairs of adjacent sides which are equal i.e. there are two pairs of adjacent sides which are equal and the opposite sides are not equal.
This is the very definition of a kite.

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