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What additional information would you need to prove that ΔABC ≅ ΔDEF by SAS? Triangle ABC is drawn with a single hash mark between A and B and triangle DEF is marked with a single hash mark between D and E. Angle B and angle E are marked congruent. A.) segment AC ≅ segment EF B.) segment BC ≅ segment FE C.) segment AC ≅ segment FE D.) segment BC ≅ segment EF

Jessie Thompson

in Mathematics

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Donald Ward on October 24, 2018

We have drawn the two trainagles as required in the attached file.As we can see the side AB is equal to the side OF. Also we are given that angle B = angle E. Then, we know that one of the sides and an angle are equal.To be consistent, we need the other side to be equal, this could be any of the two :(i) the Segment AC ≅ Segment FD, or(ii) Segment BC ≅ Segment EFSince we have not (i) appears as any option, select the second oneSo, the answer is the Segment BC ≅ Segment EF (Option D)


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