The Segment Addition Postulate involves the addition of two segments with a common endpoint. Which conditions regarding the endpoints must be met? select all that apply.

they are coplanar
one point is between the other two
they are non-coliner
the points are randomly place on the line
they are coliner

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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