text: Q:
  
  # The coordinates of the vertices of quadrilateral DEFG are D(β2, 5) , E(2, 4) , F(0, 0) , and G(β4, 1) .Which statement correctly describes whether quadrilateral DEFG is a rhombus? Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length. Quadrilateral DEFG is not a rhombus because there is only one pair of opposite sides that are parallel. Quadrilateral DEFG is not a rhombus because opposite sides are parallel but the four sides do not all have the same length. Quadrilateral DEFG is not a rhombus because there are no pairs of parallel sides.
  
  Accepted Solution
  
  A:
  Quadrilateral DEFG with coordinates of vertices of D(-2,5), E(2,4) , F(0,0) , and G(-4,1) is indeed a rhombus because it has opposite sides that are parallel, and all four sides are of the same length. This also means that the quadrilateral has equal opposite obtuse angles and equal opposite acute angles.
explanation: The document contains a math question about determining whether a quadrilateral with given coordinates is a rhombus, along with an accepted solution that provides the answer and reasoning.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Q:
  
  # The coordinates of the vertices of quadrilateral DEFG are D(β2, 5) , E(2, 4) , F(0, 0) , and G(β4, 1) .Which statement correctly describes whether quadrilateral DEFG is a rhombus? Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length. Quadrilateral DEFG is not a rhombus because there is only one pair of opposite sides that are parallel. Quadrilateral DEFG is not a rhombus because opposite sides are parallel but the four sides do not all have the same length. Quadrilateral DEFG is not a rhombus because there are no pairs of parallel sides.
  
  Accepted Solution
  
  A:
  Quadrilateral DEFG with coordinates of vertices of D(-2,5), E(2,4) , F(0,0) , and G(-4,1) is indeed a rhombus because it has opposite sides that are parallel, and all four sides are of the same length. This also means that the quadrilateral has equal opposite obtuse angles and equal opposite acute angles.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question about determining whether a quadrilateral with given coordinates is a rhombus, along with an accepted solution that provides the answer and reasoning.
  
  Label: question-and-answer