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Lyrx [107]
3 years ago
8

Given segment aed and bfc, ae=bf and ed=fc prove ad=bc What is 4???

Mathematics
1 answer:
nikitadnepr [17]3 years ago
4 0
Given: \overline{AED} and \overline{BFC}, AE = BF, and ED = FC.
We prove that AD = BC as follows:

          Statement                                                       Reason

1. \overline{AED} and \overline{BFC}                                                    Given


2. AE + ED = AD                                        Segment Addition Postulate
    BF + FC = BC

3. AE = BF and ED = FC                                            Given

4. BF + FC = AD                                                    Substitution

5. AD = BC                                                      Transitivity property

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