Q3. - Geometry

Question

Is it correct to say that point $\mathbf{B}$ lies between points $\mathbf{N}$ and $\mathbf{C}$.

Step-by-Step Solution

Answer

No, it is not correct to say that point $B$ lies between points $N$ and $C$.

Step 1. Definition of collinear points.

The points are said to be collinear if they lie on the same line.

Step 2. Observe the diagram.

It can be noticed that the points $A$, $B$ and $C$ are collinear points as they lie on the same line and it can also be noticed that point $B$ is also between the points $A$ and $C$.

 

Step 3. State whether it is correct that point B lies between points N and C.

From the given diagram it can be noticed that:

The point $B$ is not lying on the line joining the points $N$ and $C$ that implies the points $B$, $N$ and $C$ are not collinear.

The point $B$ can be said to be between the points $N$ and $C$ if the points $B$, $N$ and $C$ are collinear.

As the points are non-collinear, therefore, it is wrong to say that point $B$ lies between the points $N$ and $C$.

Therefore, no, it is not correct that the point $B$ lies between the points $N$ and $C$.