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Answer :
Final answer:
The question relates to a two-column proof in geometry, with potential justifications relating to definitions of a transversal, and principles of angles formation at the intersection of lines. However, without the specifics of statement 4 or the complete proof, a precise answer cannot be provided.
Explanation:
The information provided does not give a clear indication of what statement 4 in the two-column proof is. However, if we consider that it might relate to the definitions of the intersection of lines and angles created, we could analyze it within the context of geometry. For instance:
- a. If statement 4 pertains to the intersection of lines jk and lm by transversal jl, the justification would rely on the definition of a transversal in geometry. A transversal is a line that crosses at least two other lines.
- b. If statement 4 involves the angles formed by the intersection of jk and jl, the justification would likely be founded on the concept of vertical and linear pair angles. Angles 1, 2, 3, and 4, formed at the intersection, follow those principles.
- c. If statement 4 concerns the angles created by the intersection of lm and jl, the reasoning would be the same: the angles formed (5, 6, 7, and 8), follow specific geometric principles - in this case possibly alternate or corresponding angles, depending on their positions.
Without the specifics of statement 4 nor the complete two-column proof, a more precise justification cannot be provided.
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