Draw The Angle in Standard Position Calculator

What is Standard Position?

An angle in standard position is defined by two rays (the initial and terminal sides) that share a common endpoint called the vertex. In standard position:

• The vertex is at the origin (0,0) of a coordinate plane
• The initial side lies along the positive x-axis
• The terminal side is the side that can be rotated to determine the angle's measure

Angles in standard position are typically measured in degrees or radians, with positive angles measured counterclockwise and negative angles measured clockwise from the positive x-axis.

How to Draw an Angle in Standard Position

To draw an angle in standard position:

1. Draw the x and y axes on a coordinate plane
2. Place the vertex of the angle at the origin (0,0)
3. Draw the initial side along the positive x-axis
4. Rotate the terminal side from the initial side by the given angle measure
5. Label the angle with its measure in degrees or radians

The calculator on this page can help you visualize this process by showing you a diagram of the angle in standard position based on your input.

Examples

Example 1: Drawing a 45° Angle

To draw a 45° angle in standard position:

1. Draw the x and y axes
2. Place the vertex at (0,0)
3. Draw the initial side along the positive x-axis
4. Rotate the terminal side 45° counterclockwise from the initial side
5. Label the angle as 45°

The terminal side will be at a 45° angle from both the x and y axes, creating a right triangle with equal legs.

Example 2: Drawing a -90° Angle

To draw a -90° angle in standard position:

1. Draw the x and y axes
2. Place the vertex at (0,0)
3. Draw the initial side along the positive x-axis
4. Rotate the terminal side 90° clockwise from the initial side
5. Label the angle as -90°

The terminal side will lie along the negative y-axis, 90° clockwise from the positive x-axis.