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(i) AD = …………

(ii) ∠DCB = ………

(iii) OC = ………

(iv) m?DAB + m∠CDA = ……..

Answer :

(i) AD = BC as the opposite sides of a parallelogram are equal.

(ii)∠DCB = ∠DAB as the opposite angles of a parallelogram are equal.

(iii) OC = OA as the diagonals of a parallelogram bisect each other.

(iv) m∠DAB + m∠CDA = \(180^{\circ}\) as the adjacent angles of a parallelogram are supplementary.

- 2.Consider the following parallelograms. Find the values of the unknowns x, y, z.
- 3.Can a quadrilateral ABCD be a parallelogram if (i) \(∠D + ∠B = 180^{\circ}?\) (ii) AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm? (iii)\(∠A = 70^{\circ} and ∠C = 65^{\circ}?\)
- 4.Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.
- 5.The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram.
- 6.Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.
- 7.The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.
- 8.The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)
- 9.In the above figure both RISK and CLUE are parallelograms. Find the value of x.
- 10.Explain how this figure is a trapezium. Which of its two sides are parallel?
- 11.Find m∠C in below figure if \(\bar { AB } ∥ \bar { DC }\)
- 12.Find the measure of ∠P and ∠S if \(\bar { SP } ∥ \bar { RQ }\) in figure, is there any other method to find m∠P?)

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