A square cannot be constructed given only a diagonal of length 3 cm.

True

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False

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Solution

The correct option is B False
A square has equal diagonals and they bisect each other perpendicularly. These properties help us to construct a square.

Steps:
1. Draw a line segment BD = 3 cm.
2. Draw the perpendicular bisector EOF of BD intersecting at 0.
3. With 0 as centre and radius 1.5 cm, draw an arc to cut OE at A and OF at C.
4. Join AB, AD, CB and CD. Then ABCD is the required square.

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