iran-konkur 2019 Q122

iran-konkur · Other · konkur-riazi_1398_specialized_new-curriculum Not Maths
122. In quadrilateral $ABCD$, the two non-adjacent sides and the two diagonals are each equal to a side of a rhombus. Which of the following conclusions about the quadrilateral is correct?
  1. [(1)] The two non-adjacent sides are equal to each other.
  2. [(2)] The two diagonals are perpendicular to each other.
  3. [(3)] The two sides include the vertices of the rhombus, and are equal.
  4. [(4)] The two non-adjacent sides are parallel.

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\textbf{122.} In quadrilateral $ABCD$, the two non-adjacent sides and the two diagonals are each equal to a side of a rhombus. Which of the following conclusions about the quadrilateral is correct?

\begin{enumerate}
\item[(1)] The two non-adjacent sides are equal to each other.
\item[(2)] The two diagonals are perpendicular to each other.
\item[(3)] The two sides include the vertices of the rhombus, and are equal.
\item[(4)] The two non-adjacent sides are parallel.
\end{enumerate}



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\textbf{Mathematics \hfill 121-A \hfill Page 5}

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