Rotate the terminal side $$150^\\circ$$ counterclockwise from the positive x-axis.

An angle greater than $$180^\\circ$$ but less than $$360^\\circ$$

Rotate the terminal side $$100^\\circ$$ clockwise from the positive x-axis.

Question 1

Which of the following best describes an angle in standard position?

Accepted Answer

An angle whose vertex is at the origin and whose initial side lies along the positive x-axis.

Question 2

If an angle is measured as $$-100^\circ$$, which direction is the terminal side rotated from the initial side?

Accepted Answer

Clockwise

Question 3

Which of the following angles is NOT a positive angle drawn in standard position?

Accepted Answer

$$-54^\circ$$

Question 4

What is the approximate measure of an angle whose terminal side is between the positive x-axis and the negative y-axis?

Accepted Answer

$$240^\circ$$

Question 5

Which type of angle is defined as having a measure greater than $$90^\circ$$ but less than $$180^\circ$$?

Accepted Answer

Obtuse angle

Question 6

A right angle is always measured as:

Accepted Answer

$$90^\circ$$

Question 7

If an angle is $$210^\circ in $$standard position, in which quadrant does its terminal side lie?

Accepted Answer

Quadrant III

Question 8

Which of the following is the correct way to draw a $$150^\circ$$ angle in standard position?

Accepted Answer

Rotate the terminal side $$150^\circ$$ counterclockwise from the positive x-axis.

Question 9

Which of the following is true about the initial and terminal sides of an angle in standard position?

Accepted Answer

The initial side always lies along the positive x-axis.

Question 10

A real-world application: If a clock’s minute hand moves from 12 to 4, what is the angle swept out by the hand?

Accepted Answer

$$120^\circ$$

Question 11

Which of the following angles is an acute angle?

Accepted Answer

$$45^\circ$$

Question 12

If an angle is $$-60^\circ in $$standard position, where does its terminal side lie?

Accepted Answer

Between the positive x-axis and negative y-axis

Question 13

Which of the following is the correct definition of a reflex angle?

Accepted Answer

An angle greater than $$180^\circ$$ but less than $$360^\circ$$

Question 14

If a car turns $$270^\circ$$ counterclockwise from facing east, what direction is it facing?

Accepted Answer

Northwest

Question 15

Which of the following angles is in Quadrant II when drawn in standard position?

Accepted Answer

$$120^\circ$$

Question 16

If the terminal side of an angle in standard position lies along the negative x-axis, what is the measure of the angle?

Accepted Answer

$$180^\circ$$

Question 17

Which of the following is a correct statement about positive and negative angles?

Accepted Answer

Positive angles are measured counterclockwise from the initial side.

Question 18

A wind turbine rotates $$360^\circ in $$one minute. How many times does the tip of a blade pass the starting point in that minute?

Accepted Answer

Once

Question 19

If an angle is $$275^\circ in $$standard position, which quadrant does its terminal side lie in?

Accepted Answer

Quadrant IV

Question 20

Which of the following is the correct way to sketch a $$-100^\circ$$ angle in standard position?

Accepted Answer

Rotate the terminal side $$100^\circ$$ clockwise from the positive x-axis.

Introduction to Angles: Standard Position and Classification

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