Q12. - Geometry

Question

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

Name the vertex and sides of $\angle 1$.

Step-by-Step Solution

Answer

The required vertex is $X$ and required sides are $\overline{AX}$ and $\overline{XD}$.

Step 1. Definition of side and vertex of an angle.

The side is that part of an angle which helps in the formation of that angle and these sides represents itself as rays and the meeting point of these rays is the same. 

The vertex is that part of an angle where both the sides of the angle meet with each other and it is the point where both the rays end.

Step 2. Make an observation by using the definition.

The $\angle 1$ consists of two rays which are $\overline{AX}$ and $\overline{XD}$ because these rays help in the formation of $\angle 1$ also the point where these rays ends and the meeting of these rays represented by point $X$ so this point is the vertex of the $\angle 1$.

Step 3. Make the conclusion.

As the vertex that is $\angle 1$ and sides $\overline{AX}$ and $\overline{XD}$ are relating with the definition of side and vertex of an angle so these are the required vertex and sides.