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Using ruler and compasses only, construct a parallelogram ABCD, using the following data: `AB=6cm, AD=3cm "and" /_DAB=45^(@)`. If the bisector of `/_DAB` meets DC at P, prove that `/_APB` is a right angle.

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ICSE-CONSTRUCTION OF POLYGONS-Exercise 15
  1. Construct a rectangle ABCD, when : Area = 36cm^(2) and height = 4.5c...

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  2. Construct a trapezium ABCD, when : AB=4.8cm, BC=6.8cm, CD=5.4cm, "an...

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  3. Construct a trapezium ABCD, when : AB=CD=3.2cm, BC=6.0cm, AD=4.4cm "...

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  4. Construct a rhombus ABCD, when : Its side = 6cm "and" /A=60^(@).

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  5. Construct a rhombus ABCD, when : One side = 5.4cm and one diagonal i...

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  6. Construct a rhombus ABCD, when : Diagonal AC=6.3cm and diagonal BD=5...

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  7. Construct a rhombus ABCD, when : One side = 5.0cm and height = 2.6cm...

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  8. Construct a rhombus ABCD, when : /A=60^(@) and height = 3.5cm.

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  9. Construct a rhombus ABCD, when : Diagonal AC=6.0cm and height = 3.5c...

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  10. Construct a square ABCD, when : One side = 4.5cm.

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  11. Construct a square ABCD, when : One diagonal = 5.4cm.

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  12. Construct a square ABCD, when : Perimeter = 24cm.

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  13. Construct a rhombus, having given one side = 4.8cm and one angle = 75^...

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  14. Construct a regular hexagon of side (i) 2.5cm (ii) 3.2cm.

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  15. Using ruler and compasses only, construct the quadrilateral ABCD, havi...

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  16. Using ruler and compasses only, construct a trapezium ABCD, in which t...

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  17. Using ruler and compasses only, construct the quadrilateral ABCD, havi...

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  18. Using ruler and compasses only, construct a parallelogram ABCD, using ...

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  19. Draw parallelogram ABCD with the following data : AB=6cm, AD=5cm "an...

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  20. Using ruler and compasses only, construct a rectangle each of whose di...

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