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3 years ago

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Mathematics

1 answer:

ELEN [110]3 years ago

5 0

9514 1404 393

Answer:

a) BE = 5; DE = 6; EF = 4

b) ∠EFC ≅ ∠DA.F ≅ ∠BDE or <em>b = e = f = i</em>

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

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

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