lilykhan566
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sqdancefan

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Answer:

  a) BE = 5; DE = 6; EF = 4

  b) ∠EFC ≅ ∠DA.F ≅ ∠BDE  or  b = e = f = i

Step-by-step explanation:

Each short segment is the same length as the marked one it is parallel to.

  E is the midpoint of BC, so BE = EC = 5.

  ADEF is a parallelogram, so DE = A.F = 6.

  D is the midpoint of AB, so AD = DB = 4. ADEF is a parallelogram, so ...

     EF = AD = 4

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As we have noted, AB║EF and DE║A.F, so corresponding angles and alternate interior angles are congruent. b = e = f = i

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