Prove: If the four sides of a quadrilateral are equal, the quadrilateral is a rhombus. Given: AB = BC = CD = DA Prove: ABCD is rhombus Which of the following reasons completes the proof in line 2? Definition of parallelogram. If both pairs of opposite sides are =, then a parallelogram. All quadrilaterals are parallelograms.
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Since,the definition of rhombus = parallelogram i.e, when both pair of opposite side rhombus are equal that it is a rhombus
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Answer:
If both pair of opposite sides are =, then a parallelogram
Step-by-step explanation:
A rhombus has all sides equal. Therefore both opposite sides are equal and a parallelogram's opposite sides are equal. So, if both pair of opposite sides are =, then a parallelogram.
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