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Formation of an Angle by the Rotation

Definition

The formation of an angle by rotating a straight line with a fixed endpoint on a plane is called the formation of an angle by rotation.

Introduction

Geometrically, an angle is formed, when a straight line with a fixed endpoint is rotated to another position from its initial position on a plane. So, it is called the formation of an angle by rotation.

formation of angle by rotation

It is a fundamental geometric theory to explain the formation of an angle by rotating a straight line. Now, let’s learn how an angle is formed by rotation from an understandable graphical animation.

Example

Firstly, let’s draw a geometric figure by the below steps.

  1. Consider a point and let’s denote it by $O$ on a plane.
  2. Draw a straight line from that point. Now, rotate the straight line with its fixed starting point.
  3. Let’s assume that $P$ is a point on the straight line, when it is in initial position and $Q$ is a point on the straight line, when it is in final position.

The ray $\overrightarrow{OP}$ becomes $\overrightarrow{OQ}$ when the ray $\overrightarrow{OP}$ is rotated from its initial position. Now, an $angle \, POQ$ is formed between the rays $\overrightarrow{OP}$ and $\overrightarrow{OQ}$.

formation of angle by rotation

In this way, an angle Is formed geometrically, when a straight line is rotated to a position from its initial position. There is also another theory to know the formation of an angle. Now, let’s learn how an angle is formed between two lines.

Angle’s formation

The geometric formation of angle between straight lines, when two straight lines meet at a point on a plane.

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