Question

construct a quadrilateral POLE, where PO=5.5cm,OL=5cm,angle P=60 degree,angle O=75 degree and, angle L =105degree .write steps of construction

Answer 1

 = 6 cm, QR = 4.6 cm, RS = 4.3 cm, SP = 3.5 cm and diagonal BD = 5.6 cm 

3. Construct a quadrilateral ABCD in which AB = 3.5 cm, BC = 3.8 cm, CD = DA = 4.5 cm and diagonal BD = 5.6 cm. 



4. Construct a quadrilateral ABCD in which AB = 3.6 cm, BC = 3.3 cm, AD = 2.7 cm, diagonal AC = 4.6 cm and diagonal BD = 4 cm. 

5. Construct a quadrilateral LMNO in which LN = LO = 6 cm, MN = 7.5 cm , MO = 10 cm and NO = 5 cm. Measure the remaining side. 

6. Construct a quadrilateral ABCD in which AB = 3.4 cm, CD = 3 cm, DA = 5.7 cm, AC = 8 cm and BD = 4 cm. 

7. Construct a quadrilateral ABCD in which AB = BC = 3.5 cm, AD = CD = 5.2 cm and ∠ABC = 120°. 

8. Construct a quadrilateral ABCD in which AB = 2.9 cm, BC = 3.2 cm, CD = 2.7 cm, DA = 3.4 cm and ∠A = 70°. 

9. Construct a quadrilateral ABCD in which AB = 3.5 cm, BC = 5 cm, CD = 4.6 cm, ∠B = 125° and ∠C = 60°. 

10. Construct a quadrilateral LMNO in which LM = 6 cm, MN = 5.6 cm, NO = 2.7 cm, ∠M = 45° and ∠N = 90°. 

11. Construct a quadrilateral ABCD in which AR = 5.6 cm, BC = 4 cm, ∠A = 50°, ∠B = 105° and ∠D = 80°. 

12. Construct a quadrilateral PQRS m which PQ = 5 cm, QR = 6.5 cm, ∠P = ∠R = 100° and ∠S = 75°. 
Hint: ∠Q = [360° - (100° + 100° + 75°)] = 85°. 

13. Construct a quadrilateral ABCD in which AB = 4 cm, AC = 5 cm, AD = 5.5 cm and ∠ABC = ∠ACD = 90°. 

Answer 2

the dotted lines represent the perpendiculars..these are not involved in the quadrilateral....but are required for its construction.....hope this will help u