Respuesta :
Answer:
they are collinear
one point is between the other two
Step-by-step explanation:
The conditions regarding the endpoints that must be met are;
Option B; One point is between the other two.
Option E; They are colinear.
- The segment addition postulate states that if for example we have two points on a given line segment with endpoints, X and Z, then there will be a third point Y that resides on the line segment XZ if and only if the distances between the points meet the requirements of the equation XY + YZ = XZ.
Let's look at the options;
- Option A; This is not correct because coplanar means in the same plane but what we need is colinear points but coplanar points are not always colinear.
- Option B; This is correct because as seen above, point Y is between Point X and Z.
- Option C; This is not correct because they have to be colinear and not non-colinear.
- Option D; This is not correct because random placement may lead to non conformation with the equality of segments.
- Option E; This is correct because they have to be on the same line and are colinear.
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