Arc Measures and Properties

The video tutorial explains the concepts of major and minor arcs, semicircles, and how to measure and label arcs in a circle. It provides an example problem involving a circle with a diameter and demonstrates how to find the measures of different arcs. The tutorial also covers naming conventions for arcs using two or three letters and introduces the arc addition postulate, which states that the measure of an arc formed by two adjacent arcs is the sum of their measures.

What is the measure of a semicircle?

• 90°

• 180°

• 270°

• 360°

Which type of arc has a measure greater than 180°?

• Minor arc

• Major arc

• Semicircle

• Full circle

What is the measure of a minor arc?

• More than 180°

• Less than 180°

• 360°

• Exactly 180°

In the example problem, what is the measure of angle CAD?

• 70°

• 110°

• 180°

• 90°

If angle CAD is 70°, what is the measure of the arc opposite to it?

• 70°

• 110°

• 180°

• 250°

In the example, what is the measure of arc BC?

• 180°

• 70°

• 110°

• 250°

How do we label arcs in a circle?

• Using numbers

• Using letters with an arc symbol

• Using colors

• Using angles

What is the measure of arc BD if it is the smaller arc between points B and D?

• 70°

• 250°

• 110°

• 180°

How many letters are used to denote a semicircle?

• Two

• Four

• Three

• One

What is the measure of arc CD if it is the smaller arc between points C and D?

• 250°

• 180°

• 110°

• 70°