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?

Side AB

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Point P

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Diagonal AC

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Perpendicular bisector of AC

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Solution

The correct option is D
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?

To construct a square with diagonal AC =6.2 cm which of the following properties of a square do we use?

Q. Construct a square

A B C D

with a side of length

8 c m

. Let

O

be the point of intersection of the diagonals. Then area of

△ A O B

(in

c m^{2}

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