The Agure formed by joining the midpoints of the
sides of square taken in order is
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In ΔABD, EH ll BD (Mid-point theorem)
In ΔCBD, FG ll BD (Mid-point theorem)
In ΔACD, GH ll AC (Mid-point theorem)
In ΔABC, EF ll AC (Mid-point theorem)
If AC is perpendicular to BD, then adjacent sides of quadrilateral EFGH are perpendicular => Rectangle/square
and If AC = BD, then adjacent sides are equal => Square
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