Question

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

• A. Diagonals are equal
• B. Diagonals bisect each other at ${90}^{\circ }$.
• C. Both (A) and (B)
• D. All sides are equal

Answer 1

The correct option is C

Both (A) and (B)

To construct the square ABCD given diagonal AC = 6.2 cm following the given stepts:

(1)Draw AC=6.2 cm

(2)Draw XY, the perpendicular bisector of AC to meet AC at O.

(3)With O as centre and 3.1 cm radius $(\frac{AC}{2}=\frac{6.2}{2}=3.1cm)$ cut XY at B and D.

(4)Join AB,CB,AD and CD.