What is the definition of an inscribed angle

The video tutorial explains the concept of central angles, where the vertex is at the center of a circle, and the arc's measure equals the angle's measure. It then introduces inscribed angles, which have a vertex on the circle, and explains that the measure of an inscribed angle is half the measure of its intercepted arc. The tutorial provides examples to illustrate these concepts, helping students understand the differences and relationships between central and inscribed angles.

What is a central angle?

• An angle with its vertex on the arc

• An angle with its vertex on the circle

• An angle with its vertex at the center of the circle

• An angle with its vertex outside the circle

How does an inscribed angle differ from a central angle?

• It has its vertex at the center of the circle

• It has its vertex on the arc

• It has its vertex on the circle

• It has its vertex outside the circle

What is the relationship between the measure of an inscribed angle and its intercepted arc?

• The inscribed angle is unrelated to the arc

• The inscribed angle is twice the arc

• The inscribed angle is equal to the arc

• The inscribed angle is half the arc

If the arc measures 70 degrees, what is the measure of the inscribed angle?

• 50 degrees

• 140 degrees

• 35 degrees

• 70 degrees

What is the measure of a central angle if the arc it intercepts measures 70 degrees?

• 140 degrees

• 70 degrees

• 50 degrees

• 35 degrees