Mathematics
Which of the following quadrilaterals can you construct if you know the length of its diagonals?
Parallelogram
Rectangle
Rhombus
Square
Answer
Rhombus:
Diagonals of a rhombus are perpendicular bisectors of each other.
Knowing both diagonal lengths completely determines the rhombus.
Square:
A square has equal diagonals that are perpendicular. Knowing the diagonal length fixes the side length.
Hence, square and rhombus can be constructed if we know the length of its diagonals.
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