In triangle ABC, points D and E are the midpoints of and respectively. What are the slope and length of , if the slope and length of are 0.5 and 3.2 units, respectively?

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Answer: The slope of DE is 0.5 and the length of DE is 1.6 units.
Explanation: Given that the midpoints D and E of triangle ABC are joined by line segment DE, this line segment DE will be parallel to BC and will measure half of the length of BC according to the midpoint theorem for triangles. Therefore, the slope of DE is
      slope of DE = slope of BC = 0.5 
since they are parallel, and the length of DE is
      length of DE = 0.5 * length of BC = 0.5 * 3.2 = 1.6 units.

Answer: (option C) slope = 0.5, length = 1.6 units