Exploring Inscribed Angles

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

• There is no relationship.

• The arc is twice the measure of the angle.

• The angle is half the measure of the arc.

• The angle is equal to the arc.

How do you find the measure of an angle when you know the measure of its intercepted arc?

• Multiply the arc by 2

• Divide the arc by 2

• Add 180 to the arc

• Subtract the arc from 360

What defines a central angle in a circle?

• Its vertex is on the circle.

• Its vertex is at the center of the circle.

• It intercepts a semicircle.

• It is equal to its intercepted arc.

In a circle, if a central angle and an inscribed angle intercept the same arc, how do their measures compare?

• The central angle is twice the inscribed angle.

• There is no specific relationship.

• The inscribed angle is twice the central angle.

• They are equal.

If an inscribed angle measures 42 degrees, what is the measure of its intercepted arc?

• 84 degrees

• 42 degrees

• 21 degrees

• 168 degrees

How is a diameter related to a semicircle?

• It is always longer than the radius.

• It divides the circle into two equal arcs.

• It has no relation to a semicircle.

• It is equal to the length of the arc.

How do you find the measure of an unknown arc if you know it forms a semicircle with a known arc?

• Add the known arc to 180

• Divide the known arc by 2

• Multiply the known arc by 2

• Subtract the known arc from 180

What is the measure of an inscribed angle if its intercepted arc measures 98 degrees?

• 294 degrees

• 196 degrees

• 49 degrees

• 98 degrees

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

• 280 degrees

• 70 degrees

• 35 degrees

• 140 degrees

What is the measure of an arc if its corresponding central angle measures 50 degrees?

• 25 degrees

• 50 degrees

• 100 degrees

• 200 degrees