Question

Someone please help me asap,

Answer 1

Answer:

Below is the complete proof.

STATEMENT                              REASON  

___________________________________________________

1. BC = EF                                    1. Given

2. AB + BC = AC                         2. Betweenness

3. AC > BC                                  3. Def. of segment inequality

4. AC > EF                                   4. Def. of congruent segments

Explanation:

1. As BC = EF is given
2. AB + BC = AC because it holds betweenness. Betweenness defines that if a point B is between points A and C, then the length of AB and the length of BC is equal to the length of AC.
3. AC > BC because the Parts Theorem (Segments) mentions that if B is a point on AC between A and C, then AC > BC and AC>AB.
4. AC > EF because BC = EF and if AC>BC, then it must be AC>EF.

Keywords: segment, proof, statement

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