Question

Prove that a quadrilateral is a parallelogramif its one pair of opposite sides is equal and parallel.​

Answer 1

Answer:

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Answer 2

Answer:

this is not an English question but I can answer this, so mark me brainliest

Explanation:

given: ABCD is a quadrilateral

where AB || CD & AB= CD

to prove: ABCD is a parallelogram

proof:

given AB || CD

with transversal AC

<BAC = DCA. (alternate angles). ...(1)

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In ∆ ADC & ∆ CBA

AB = CD (given)

<BAC = DCA (from (1) )

AC = CA (common)

∴ ∆ ADC = ∆ CBA (SAS rule)

hence, DA = BC (CPCT)

thus, in ABCD,

both pairs of opposite sides are equal

∴ ABCD is a parallelogram.

hence proved