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Point O is between points G and D on line m. Which of the following statements is not necessarily true?

a. O, G and D are collinear.
b. O, G and D are coplanar.
c. GO + OD = GD
d. GO = OD

2 Answers

2 votes
c. GO + OD = GD

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User Blj
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4 votes

Answer: d. GO = OD

Explanation:

Given: Point O is between points G and D on line m.

It means that they are on same line m.

We know that collinear points are the points lie in the same line.

Hence O, G and D are collinear.

Also, coplanar points are the points lie in the same plane.

Since if three points are collinear, then they are coplanar.

Therefore, O, G and D are coplanar.

The statement which is not necessarily true is d. GO = OD because it is not given that o lies exactly middle to points G and D.

User Gruner
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7.5k points