Question

point o is between points g and d on line m. which of the following statements is not necessarily true? go + od = gd go = od o, g and d are coplanar. o, g and d are collinear.

Explanation:

Step1: Analyze collinear - segment relation

If point O is between G and D on line m, by the segment - addition postulate, $GO + OD=GD$.

Step2: Analyze collinear - coplanar relation

Points on the same line are always coplanar. Since O, G, and D are on line m, they are coplanar.

Step3: Analyze collinear - collinear relation

Given that O is between G and D on line m, O, G, and D are collinear.

Step4: Analyze segment - length relation

Just because O is between G and D does not mean that $GO = OD$. O can be anywhere between G and D, not necessarily at the mid - point.

Answer:

$GO = OD$