(d) Prove that the quadrilateral ABCD is a square if A =(4, 3), B = (6,4), C =(5, 6) and D =(3,5).
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Answer:
Yes it is a square
Step-by-step explanation:
First if we find the distance between points
AB= √5
BC=√5
CD=√5
AD=√5
But if all sides are equal it can be rhombus also. So we need to verify whether the diagonals are equal or not.
AC=√10
BD=√10
As diagonals are also equal Thus is a square.
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