Can a quadrilateral ABCD be a parallelogram if (a) AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm? (b) ∠A = 70° and ∠C = 65°?
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Let's look into a quadrilateral ABCD and check if it is a parallelogram using the following conditions: (i) For, ∠D + ∠B = 180°, ABCD may or may not be a parallelogram (ii) For, AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm, ABCD cannot be a parallelogram (iii) For, ∠A = 70° and ∠C = 65°, ABCD cannot be a parallelogram.
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(a). yes ,opposite sides are equal
b. no, angles are unequal
Step-by-step explanation:
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