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प्रश्न
If one pair of opposite sides of a quadrilateral are equal and parallel then it is a ______.
पर्याय
isosceles trapezium
rhombus
kite
parallelogram
MCQ
रिकाम्या जागा भरा
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उत्तर
If one pair of opposite sides of a quadrilateral are equal and parallel then it is a parallelogram.
Explanation:
A quadrilateral with one pair of opposite sides that are both equal and parallel is defined as a parallelogram.
In a quadrilateral ABCD, if AB = CD and AB || CD, then the quadrilateral ABCD is a parallelogram. The proof involves using the Side-Angle-Side (SAS) congruence criterion to show that the diagonal AC divides the quadrilateral into two congruent triangles. This proves that the other pair of opposite sides AD and BC are also equal and parallel.
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