NCERT - Mathematics

Book: NCERT - Mathematics

Chapter: 3. Understanding Quadrilaterals

Subject: Maths - Class 8th

Q. No. 3 of Exercises 3.3

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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°?

(i) Considering, ∠D + ∠B = 180°, quadrilateral ABCD may or may not be a parallelogram

Along with this, the following criteria should also be fulfilled

Opposite angles should also be of same measures

The sum of the measures of adjacent angles should be 180°

(ii) No because opposite sides AD and BC are of different lengths

(iii) No as opposite angles A and C have different measures


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