Point N is at the midpoint of MO which of the following
To determine which of the given options represents the relationship where point N is at the midpoint of MO, we need to understand what it means for a point to be at the midpoint of a line segment.
A midpoint is the exact middle point of a line segment. It is equidistant from both endpoints of the segment. In this case, point N is at the midpoint of line segment MO, which implies that N is in the middle of MO, and the distance from M to N is equal to the distance from N to O.
Now, let's consider the given options and analyze them step by step to find the correct representation:
Option 1: N = O
If N is equal to O, it means that N and O are the same point. Therefore, N cannot be at the midpoint of MO since it would be at the endpoint O.
Option 2: MN = MO
If MN is equal to MO, it means that N is at one of the endpoints of MO, rather than at the midpoint. Therefore, option 2 is not correct.
Option 3: NO = MO
If NO is equal to MO, it means that N and O are the same point. Similar to option 1, this would place N at the endpoint O, not at the midpoint.
Option 4: MN = NO
If MN is equal to NO, it means that N is equidistant from M and O. This is exactly what it means for point N to be at the midpoint of line segment MO. Therefore, option 4 is the correct representation where N is at the midpoint of MO.
In conclusion, option 4 is the correct choice where point N is at the midpoint of MO.