Question

Based on the information given, can you determine that the equilateral must be a parallelogram ? Explain.
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Answer 1

as you can see Each diagonal cuts the other diagonal into two equal parts, as in the diagram, and line XN congruent line NZ and line NY congruent line NW.
and what when of from the definition of Parallelogram

A parallelogram is a quadrilateral with opposite sides parallel. It is the "parent" of some other quadrilaterals

Answer 2

@helpme1.2 Thanks! One more in another question