## CHECK IF THE GIVEN ANGLE IN STANDARD POSITION

Check if the Given Angle in Standard Position :

Here we are going to see, how to check if the given angle in standard position.

An angle is said to be an angle in standard position if its vertex is at the origin of a coordinate grid and its initial arm coincides with the positive x-axis.

The position of an angle when its initial arm is  on the positive x-axis and its vertex is at the origin.

## Check if the Given Angle in Standard Position - Examples

Question 1 :

Is the following angle, θ, in standard position ?

Solution :

In the picture given above the angle is not in the standard position.

Explanation :

The vertex of initial arm and terminal arm is not at origin.

Question 2 :

Is the following angle, θ, in standard position ?

Solution :

In the picture given above the angle is in the standard position.

Explanation :

The vertex is at origin and initial arm is in x axis. Hence the given angle is in standard position.

Question 3 :

Is the following angle, θ, in standard position ?

Solution :

In the picture given above the angle is not in the standard position.

Explanation :

The initial arm is not on the x-axis.

Question 4 :

Is the following angle, θ, in standard position ?

Solution :

In the picture given above the angle is in the standard position.

Explanation :

The vertex is at origin and initial arm is in x axis. Hence the given angle is in standard position.

Question 5 :

Without measuring, match each angle with a diagram of the angle in standard position.

(a) 150°     (b) 180°      (c) 45°     (d) 320°

(e) 215°     (f) 270°

Solution :

(a)  150

It is greater than 90 but lesser than 180.The picture F represents angle 150.

(b)  Picture C represents 180 degree.

(c)  45

45 degree is greater than 0 but lesser than 90. Picture A represents 45 degree.

(d)  320

320 degree is greater than 270 and lesser than 360. Picture D represents 320 degree.

(e)  215

215 is greater than 180 but lesser than 270, picture B represents 215.

(f)  270

Picture F represents 270 degree.

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