Circle Geometry: Arcs and Chords

The video tutorial explains the relationship between central angles and arcs in a circle. It covers the concepts of minor and major arcs, semicircles, and how equal central angles result in equal arcs. The tutorial also discusses the role of diameters and chords in forming arcs and internal angles. A special case of perpendicular bisectors is highlighted, showing how they create congruent arcs.

What is the relationship between a central angle and the arc it intercepts?

• The central angle is equal to the arc.

• The central angle is unrelated to the arc.

• The central angle is double the arc.

• The central angle is half the arc.

What is a minor arc?

• An arc exactly 180 degrees.

• An arc greater than 180 degrees.

• An arc equal to the central angle.

• An arc less than 180 degrees.

What is a semicircle?

• An arc less than 90 degrees.

• An arc exactly 180 degrees.

• An arc greater than 180 degrees.

• An arc equal to the central angle.

What is the definition of a major arc?

• An arc equal to the central angle.

• An arc greater than 180 degrees.

• An arc less than 90 degrees.

• An arc exactly 180 degrees.

If two central angles in congruent circles are equal, what can be said about their arcs?

• The arcs are unrelated.

• The arcs are equal.

• The arcs are double the central angles.

• The arcs are different.

What happens when diameters project central angles?

• They create arcs that are double the central angles.

• They create unequal arcs.

• They create equal arcs.

• They create arcs unrelated to the central angles.

What are chords in relation to diameters?

• Chords are always diameters.

• Chords are never diameters.

• Chords can be diameters if they pass through the center.

• Chords are unrelated to diameters.

What is the relationship between vertical angles formed by intersecting chords?

• They are unrelated.

• They are double each other.

• They are equal.

• They are half each other.

What changes when chords move away from the center of a circle?

• The arc size changes.

• The central angle changes.

• The chord length changes.

• The circle size changes.

How do internal angles formed by chords relate to arcs?

• They are double the arcs.

• They are the average of the arcs.

• They are unrelated to the arcs.

• They are equal to the arcs.