Ali was asked to construct a square ABCD for which, the diagonal AC alone is given. He was given a compass and a straight edge (a ruler with NO markings). P is said to be the point of intersection of the diagonals of the square. Which of the following will be Ali's second step of construction?

Point P

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Perpendicular bisector of AC

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Diagonal AC

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Side AB

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Solution

The correct option is B
Perpendicular bisector of AC

Steps of Construction:
1) Draw diagonal AC of given length.
2) Draw the perpendicular bisector AC to meet AC at P.
3) With P as the centre and radius AP, cut arcs B and D on the perpendicular bisector.
4) Join AB, BC, CD and DA.
We have constructed the required square.

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Similar questions

Ali was asked to construct a square ABCD for which, the diagonal AC alone is given. He was given a compass and a straight edge (a ruler with NO markings). P is said to be the point of intersection of the diagonals of the square. Which of the following will be Ali's second step of construction?

Ali was asked to construct a square for which, the diagonal alone is given (length known) and nothing else. He was given a compass and a straight edge (a ruler with NO markings). The square is ACBD. P is said to be 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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Which property of a square is used to construct a square given its diagonal?

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