Given line segment AB on Line L, and a collinear point M, which must be true?
a. M is on line L ****
b. M is between A and B
c. M is on line segment AB
d. M is the midpoint of A and B
M is on line L
To determine which statement must be true, we need to understand the terms used.
1. Line segment AB refers to the portion of line L that includes both points A and B.
2. Collinear points are points that lie on a single straight line.
Now let's analyze the given options:
a. M is on line L: This option implies that point M lies on line L. Since the problem states that M is a collinear point (which means it lies on the same straight line), statement a must be true.
b. M is between A and B: This option states that point M is located between points A and B on line L. However, it is important to note that the problem does not provide enough information about the positioning of M in relation to A and B. Therefore, we cannot conclude that statement b is true based on the given information.
c. M is on line segment AB: Line segment AB refers to the portion of line L that includes points A and B. Since we know that M lies on line L, it is also true that M lies on line segment AB. Therefore, statement c must be true.
d. M is the midpoint of A and B: The midpoint of a line segment is the point that divides the segment into two equal parts. The given information does not provide any details about the position of M in relation to the midpoint of A and B. Therefore, we cannot determine whether statement d is true or not.
In conclusion, the only statement that must be true based on the given information is:
a. M is on line L