Question

Using ruler and compasses only, construct a rectangle each of whose diagonals measure 6 cm and the diagonals interest at an angle of 45^o.

Answer 1

To draw the rectangle follows the steps:
1. First draw a line AC of measure 6cm.
2. Then draw the perpendicular bisector of AC  through O.
3. At O draw an angle of measure 45°. Then produce OD  of measure 3cm and OB of measure 3cm each. 
4. Now join AD, AB, BC,  and CD to form the rectangle.