Question

Complete each statement with the word always, sometimes, or never.

Three lines intersecting in one point are coplanar

Short answer

Three lines intersecting in one point are sometimes coplanar.

Step-by-step solution

Step 1. Define coplanar

Coplanar lines are those lines which lies in the same plane

Step 2. Draw the diagram

Draw a diagram with three lines intersecting in one point.

Figure 1:

Figure 2:

Step 3. State the conclusion

From the diagrams, it can be observed that tt is not necessary that if three lines intersects in one point then they will be coplanar, they may or may not lie in the same plane. Since in figure 1, the three lines intersect at one point and are coplanar. And in the figure 2, the three lines intersect at one point but are not coplanar.

Thus, three lines intersecting in one point may or may not be coplanar. So, it will be sometimes coplanar.