Consider the following figure of line . Say whether following statements are true or false in context of the given figure:

(a) Q, M, O, N, and P are the points on the line MN.

(b) M, O, N are points on a line segment MN.

(c) M and N are end points of line segment MN.

(d) O and N are end points of line segment OP.

(e) M is one of the end points of line segment QO.

(f) M is point on ray OP.

(g) is different from .

(h) is same as .

(i) is not opposite to .

(j) O is not an initial point of .

(k) N is the initial point of and

(a) True.

As we can see the line is passing through all the points.

(b) True.

As we know that a line segment contains every point on the line between its endpoints. So, MN is a line segment with end points M and N, & has O in between its endpoints only.

(c) True.

As we know that a line segment contains every point on the line between its endpoints and MN is a line segment with end points M and N.

(d) False.

If OP is the line segment than O and N can’t be its endpoints as the Name it self tells us O and P is the endpoints.

(e) False.

M can’t be one of the endpoints of line segment QO as its end points are Q and O itself.

(f) False.

A ray has only one end-point and extends infinitly in the other direction for eample sun rays. So, the ray OP starts from O and extends it self in the direction of P and it doesn’t have M on it.

(g) True.

As Both the rays has different origin points O and Q.

(h) False.

As we can see both the rays are starting from the same point but extending in different directions so they can’t be same.

(i) False.

Ray OM is Opposite to ray OP

(j) False.

O is the Initial point of OP as the name it self suggest it is starting from O only.

(k) True.

N is the initial Point of NP and NM.