Question

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

Explanation:

• For option A: Points on a line are coplanar, so O, G, D are coplanar (true).
• For option B: Just because O is between G and D on line m, it doesn't mean \( GO = OD \) (O could be any point between them, not necessarily the midpoint) (not necessarily true).
• For option C: If O is between G and D on line m, then O, G, D are collinear (true).
• For option D: By the segment addition postulate, \( GO + OD = GD \) (true).

Answer:

B. \( GO = OD \)