CBSE Class 8 Mathematics Construction of Quadrilaterals Assignment

1) In a quadrilateral if one pair of opposite sides is equal and parallel, the figure is…………….

2) If one angle of a parallelogram is a right angle, then it is necessarily a …………………………

3) If opposite angles of a quadrilateral are equal, then it is necessarily a ………………………….

4) If the consecutive sides of a parallelogram are equal, then it is necessarily a ………………….

5) Diagonals necessarily bisect opposite angles in a …………………………

6) The angles of a quadrilateral are in the ratio 1:2:3:4. Find the measure of its four angles.

7) The measure of one angle of a parallelogram is 80°. Find the measure of other angles.

8) The sum of interior angles of a polygon of 10 sides is……

9) One of a quadrilateral is 108° and other three angles are equal, then the value of each equal angle is……………………..

10) Exterior angle of a regular polygon is 24°. Find the number of sides of the polygon.

11) Find the values of x, y and z in the given parallelogram ABCD

Q1.Construct a quadrilateral ABCD in which AB = 4.2cm , BC = 6 cm , CD = 5.2 cm . DA = 5.2 and AC = 8 cm .

Q2. Construct a quadrilateral PQRS in which PQ = 4.6 cm , RS = 4.3 cm, SP = 3.5 cm & PR = 4 cm.

Q3. Construct a quadrilateral ABCD in which AB = 3.5 cm , BC = 3.8 cm , CD = DA = 4.5 cm & diagonal BD = 5.6 cm.

Q4. Construct a quadrilateral ABCD in which AB = 3.6 cm , BC = 3.3 cm , AD = 2.7 cm , diagonal AC = 4.6 cm & BD = 4 cm.

Q5. Construct a quadrilateral PQRS in which QR = 7.5 cm , PR = PS = 6 cm , RS = 5 cm & QS = 10 cm. Measure the fourth side .

Q6. Construct a quadrilateral PQRS in which PQ = 6 cm , RS = 2.7 cm, QR = 5.6 cm angle Q = 45° & ang R = 90°.

Q7. Construct a quadrilateral ABCD in which AB= 2.9cm, BC=3.2 cm , CD = 2.7 cm, DA = 3.4 cm and Angle A = 70° .

Q8. Construct a quadrilateral ABCD in which AB = BC = 3.5 cm , AD = CD = 5.2 cm and Angle ABC = 120°.

Q9. Construct a quadrilateral ABCD in which AB = 5.6 cm, BC = 4 cm , Ang A = 50°, Ang B = 105°, and Ang D =80° .

Q10. Construct a quadrilateral ABCD in which AB = 4cm , AC = 5 cm , AD = 5.5 cm and Ang ABC = Ang ACD = 90°.

Q11. Construct a parallelogram ABCD in which AB = 5.2 cm , BC = 4.7 cm & AC = 7.6 cm.

Q12. Construct a parallelogram ABCD in which AB = 4.3 cm , BD = 6.8 cm & AD = 4 cm.

Q13. Construct a parallelogram PQRS in which QR = 6 cm , PQ = 4 & Ang PQR = 60°.

Q14. Construct a parallelogram ABCD in which CB = 5 cm , BCD = 120° & CD = 4.8 cm.

Q15. Construct a rectangle ABCD whose adjacent sides are 11 cm & 8.5 cm.

Q16. Construct a square , each of whose sides measure 6.4 cm.

Q17. Construct a square , each of whose diagonals measure 5.8 cm.

Q18. Construct a rhombus whose diagonals are 6 cm & 8 cm.

Q19. Construct a rhombus ABCD in which AB = 4 cm & diagonal AC is 6.5 cm.

Q20. Draw a rhombus whose side is 7.2 cm & one angle is 60°.

Q1) The measure of two angles of a parallelogram are in a ratio 3:2 find the measure of each angle of a parallelogram

Q2) The diagonals of a rectangle PQRS intersect each other at O . if angle POS = 40, find <ROQ and <ORQ

Q3) the ratio of two sides of a parallelogram is 2:5 and its perimeter is 70 find the sides of a parallelogra

Q4) In the following figure KLMN is a parallelogram and a line segment KO and PM bisect the angles K and M respectively .show that KO || PM

Q5) The adjacent sides of a parallelogram differ by 30 cm . if its perimeter is 160cm , find its sides

Q6) In the figure , ABCD is a rectangle DP and PQ are perpendiculars to AC from D and B respectively

(a) Is AB =CD

(b) <BQA = <DPC

(c) <BAQ = <DCP

(d) Is Δ BQA =̃ ΔDPC ? state the congruence condition

(e) Is BQ = DP ? state the reason in each case

Q7) prove that opposite angles of a parallelogram are equal

Q8) in figure ABCD is a quadrilateral with <B = 56 and <D = 104. If <BAD and <BCD are in a ratio 2:3 find the value of <1 and <2