Standard Position
Where the origin is a vertex & the initial side coincides with the positive x-axis
Standard position is a term used to describe the position of an angle in the plane. It is defined as an angle with its initial side on the positive x-axis and its vertex at the origin (0,0). This position is the standard against which all other angles are measured.
To convert an angle from any position to standard position, we need to rotate it in the counterclockwise direction around the origin until its initial side lies on the positive x-axis. The angle, in this case, would be positive, as it has been measured in relation to the positive x-axis.
If we rotate an angle in the clockwise direction around the origin to place its initial side on the positive x-axis, the resulting angle is negative as it has been measured in relation to the negative x-axis.
In summary, standard position is the reference position that helps us measure angles in the plane. By rotating an angle in a counterclockwise direction to place it in standard position, we can measure the size of the angle in degrees or radians.
More Answers:
Mastering Radians: The Benefits Of Using Radians As The Primary Unit Of Angle Measurement In MathMastering Geometry: And Measuring Angles For Precise Calculations
Mastering Trigonometry: Simplifying Calculations Using Coterminal Angles