Final answer:
The provided statements do not clearly relate to the geometric principles that would be used to prove lines are parallel. A correct approach would involve demonstrating equal corresponding angles or equal slopes. The options given are insufficient to answer the question definitively.
Step-by-step explanation:
The question seems to be asking which statement would prove that line 1 is parallel to line m, denoted as 1 || m. However, the options provided (A-D) appear to be not directly related to the concept of parallel lines or contain mathematical typos or incorrect symbols that make it difficult to answer the question as phrased. In geometry, to prove that two lines are parallel, one might demonstrate that they have equal corresponding angles formed by a transversal or that they have the same slope if described with linear equations.
To determine whether two lines are parallel, one would typically use properties of angles such as alternate interior angles or corresponding angles being congruent, or by showing similarity between the lines if they were in the form of slope-intercept equations. Without additional context or a correct set of statements, it is not possible to provide a verified answer based on the options given.