Question

Using the information given, select the statement that will allow one to deduce that the line segments are parallel. If there are none, then select none. When m² = mc, ________.

1) None
2) m² = mc
3) m² = 2mc
4) m² = 3mc

Answer 1

To deduce if line segments are parallel based on the given information, we look for a statement indicating they have the same slope. The only option that suggests this without change in value is option 2) m² = mc, although additional information is needed for a definitive conclusion.

Step-by-step explanation:

To determine if line segments are parallel, we must find a condition that implies they have the same slope. From the given options, the only statement that doesn't indicate a proportional relationship or change in magnitude between m² and mc is when they are equal, which is option 2) m² = mc.

This equality suggests a one-to-one relationship without any change in value, which can be associated with parallel lines having the same slope. However, without additional context or information about the variables m², mc, and the geometry involved, we cannot definitively conclude that the segments are parallel based solely on the condition m² = mc.