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Question
Ali was asked to construct a square for which, the diagonal alone is given(length unknown) and nothing else. He was given a compass and a straight edge (a ruler with NO markings). The square is ACBD. P is the point of intersection of the diagonals of the square. Which of the following is constructed as a first step in this construction?
Ali was asked to construct a square for which, the diagonal alone is given(length unknown) and nothing else. He was given a compass and a straight edge (a ruler with NO markings). The square is ACBD. P is the point of intersection of the diagonals of the square. Which of the following is constructed as a first step in this construction?
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Solution
The correct option is B AC or CD, P, AP or PB or OC or OD
Steps of Construction:
Take the line segment of length AB (the diagonal) and draw the perpendicular bisector of this segment. Let this perpendicular cut AB at P.
With P as the centre and radius AP, cut arcs, C and D on the perpendicular bisector. Join AC and AD, BC and BD. Thus, the square has been constructed.
AC or CD, P, AP or PB or OC or OD
Steps of Construction:
Take the line segment of length AB (the diagonal) and draw the perpendicular bisector of this segment. Let this perpendicular cut AB at P.
With P as the centre and radius AP, cut arcs, C and D on the perpendicular bisector. Join AC and AD, BC and BD. Thus, the square has been constructed.
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