Understanding Angles in Standard Position

This video tutorial explains the standard position of angles in the coordinate plane, focusing on acute and obtuse angles, quadrants, and angle measures. It covers positive and negative angles, quadrantal angles, and angles exceeding 360 degrees, providing a comprehensive understanding of how angles are positioned and measured in trigonometry and geometry.

What is the initial side of an angle in standard position?

• The side on the negative x-axis

• The side on the positive x-axis

• The side on the positive y-axis

• The side where the angle stops

Where is the vertex of an angle in standard position located?

• At the point (1, 1)

• At the origin (0, 0)

• At the point (0, 1)

• At the point (1, 0)

Acute angles in standard position start on the positive x-axis and stop between which degrees?

• 0 and 90 degrees

• 270 and 360 degrees

• 180 and 270 degrees

• 90 and 180 degrees

In which quadrant do angles between 90 and 180 degrees lie?

• Quadrant 3

• Quadrant 4

• Quadrant 2

• Quadrant 1

Angles in Quadrant 3 are measured between which degrees?

• 270 and 360 degrees

• 90 and 180 degrees

• 0 and 90 degrees

• 180 and 270 degrees

Which of the following is true about angles in Quadrant 4?

• They are between 180 and 270 degrees

• They are between 0 and 90 degrees

• They are between 270 and 360 degrees

• They are between 90 and 180 degrees

Which of the following is true about angles in Quadrant 1?

• They are between 270 and 360 degrees

• They are between 180 and 270 degrees

• They are between 0 and 90 degrees

• They are between 90 and 180 degrees

How do positive angles rotate in the coordinate plane?

• Clockwise

• Counterclockwise

• Horizontally

• Vertically

Negative angles rotate in which direction?

• Vertically

• Clockwise

• Counterclockwise

• Horizontally

What are quadrantal angles?

• Angles that fall in the middle of quadrants

• Angles that are less than 90 degrees

• Angles with terminal sides on the x or y-axis

• Angles that are multiples of 45 degrees