Q8. - Geometry

Question

Which of the four things stated can’t you conclude from the diagram?

1. $\mathbf{A}$, $\mathbf{B}$ and $\mathbf{C}$ are collinear.
2. $\mathbf{\angle }\mathbf{DBC}$ Is a right angle.
3. $\mathbf{B}$ is the midpoint of $\overleftrightarrow{\mathrm{AC}}$.
4. $\mathbf{E}$ is in the interior of $\mathbf{\angle }\mathbf{DBA}$.

Step-by-Step Solution

Answer

The thing that can’t be concluded from the given diagram is:

c. is the mid point of $\overleftrightarrow{\mathrm{AC}}$.

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Definition of collinear points.

The collinear points are the points that lie on the same line.

Step 3. Write the thing that can’t be concluded from the given diagram.

From the given diagram it can be noticed that:

The points $A$, $B$ and $C$ are lying on the same line. Therefore, the points $A$, $B$ and $C$ are collinear points.

The angle $DBC=90°$, therefore, the angle $DBC$ is a right angle. $E$

is in the interior of the angle $DBA$.

Therefore, the only thing that can’t be concluded from the given diagram is that $B$ is the mid-point of $AC$.