Q9. - Geometry

Question

Given the diagram, tell whether you can reach the conclusion shown.

Name the intersection of $\overrightarrow{CX}$ and $\overleftrightarrow{AB}$.

Step-by-Step Solution

Answer

The point $A$ represents itself as the point where the lines $\overrightarrow{CX}$ and $\overleftrightarrow{AB}$ are intersecting.

Step 1. Observe the given figure.

The line $\overrightarrow{CX}$ is the half of the line $\overrightarrow{CA}$ and it is intersecting with the line $\overleftrightarrow{AB}$.

Step 2. Use the observation.

As both the lines $\overrightarrow{CA}$ and $\overleftrightarrow{AB}$ are intersecting which means that the point $A$ represents itself as the point where both the lines are intersecting.

Step 3. Make the conclusion.

Point $A$ is the required point because it is the only point where the lines are intersecting.