Exploring Inscribed and Central Angles

Where is the vertex of an inscribed angle located?

• At the center of the circle

• On the circle

• Outside the circle

• Inside the circle but not at the center

What is the relationship between a central angle and an inscribed angle that share the same arc?

• The central angle is half the inscribed angle

• The inscribed angle is double the central angle

• The central angle is double the inscribed angle

• There is no relationship

If an inscribed angle measures 50 degrees, what is the measure of the central angle sharing the same arc?

• 50 degrees

• 200 degrees

• 100 degrees

• 25 degrees

Inscribed angles that share the same arc are always...

• Unrelated

• Equal

• Complementary

• Supplementary

If two inscribed angles share the same arc and one measures 44 degrees, what is the measure of the other angle?

• 132 degrees

• 88 degrees

• 22 degrees

• 44 degrees

How do you find the measure of an unknown central angle when given the measure of an inscribed angle?

• Add 180 to the inscribed angle

• Divide the inscribed angle by 2

• Multiply the inscribed angle by 2

• Subtract the inscribed angle from 180

What is the sum of the angles in a triangle?

• 180 degrees

• 90 degrees

• 270 degrees

• 360 degrees

If an inscribed angle measures 30 degrees, what is the measure of another inscribed angle sharing the same arc?

• 15 degrees

• 30 degrees

• 60 degrees

• 120 degrees

Given a central angle of 102 degrees, what is the measure of the corresponding inscribed angle?

• 204 degrees

• 102 degrees

• 51 degrees

• 306 degrees

To find the measure of angle Y in a triangle formed within a circle, you should...

• Subtract the sum of the other two angles from 180

• Multiply the largest angle by 2

• Subtract the sum of the other two angles from 360

• Add 180 to the smallest angle