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3 years ago

Someone please help me asap,

Mathematics

1 answer:

professor190 [17]3 years ago

5 0

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:

As BC = EF is given
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.
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.
AC > EF because BC = EF and if AC>BC, then it must be AC>EF.

Keywords: segment, proof, statement

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