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Parallelograms

Question 3 ii...

Question

Question 3 (ii)
Can a quadrilateral ABCD be a parallelogram, if:
(ii) AB=DC=8 cm, AD=4cm and BC=4.4 cm?

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Solution

(ii) No.

In a parallelogram, the opposite sides are parallel and equal to each other.
Since, one pair of opposite sides are equal and the other pair of opposite sides are unequal. So, it is not a parallelogram.

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Similar questions

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°?

Construct a quadrilateral $A B C D$ in which $A B = 4.4 c m,$ $B C = 4 c m,$ $C D = 6.4 c m, D A = 2.8 c m$ and $B D = 6.6 c m .$ [ $3$ MARKS]

∠ A = 75^{\circ}

A B = D C = 8

A D = 4

B C = 4.4

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