Given a parallelogram ABCD. Complete each statement along with the definition or property used
(i) AD = ......
(ii) ∠ DCB = ......
(iii) OC = ......
(iv) m ∠DAB + m ∠CDA = ......

Solution:

(i) The opposite sides of a parallelogram are of equal length.

Thus, AD = BC

(ii) In a parallelogram, opposite angles are equal in measure

Thus, ∠DCB = ∠DAB

(iii) In a parallelogram, diagonals bisect each

Hence, OC = OA

(iv) In a parallelogram, adjacent angles are supplementary to each other.

Hence, m∠DAB + m∠CDA = 180°

☛ Check: NCERT Solutions for Class 8 Maths Chapter 3

Video Solution:

Given a parallelogram ABCD. Complete each statement along with the definition or property used. (i) AD = ...... (ii) ∠ DCB = ...... (iii) OC = ...... (iv) m ∠DAB + m ∠CDA = ......

NCERT Solutions Class 8 Maths Chapter 3 Exercise 3.3 Question 1

Summary:

For the parallelogram ABCD, (a) AD = BC (b) ∠DCD = ∠DAB (c) OC = OA (d) ∠DAB + ∠CDA =180°.

☛ Related Questions:

• Consider the following parallelograms. Find the values of the unknowns x, y, z.
• Can a quadrilateral ABCD be a parallelogram if (i) ∠D + ∠B = 180°? (ii) AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm? (iii) ∠A = 70° and ∠C = 65°?
• Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.
• 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.