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