Comparing Central, Inscribed, and Circumscribed Angles in Circles

Where is the vertex of a central angle located?

• At the center of the circle

• Outside the circle

• At any point inside the circle

• On the circumference of the circle

How is the measure of a central angle related to its intercepted arc?

• It is twice the measure of the intercepted arc

• It is half the measure of the intercepted arc

• It is equal to the measure of the intercepted arc

• There is no relation

If an arc measures 80 degrees, what is the measure of the central angle intercepting it?

• 40 degrees

• 20 degrees

• 160 degrees

• 80 degrees

What is the measure of an inscribed angle compared to its intercepted arc?

• One-fourth of the intercepted arc

• Half of the intercepted arc

• Twice the intercepted arc

• Equal to the intercepted arc

If an arc measures 80 degrees, what is the measure of the inscribed angle intercepting it?

• 40 degrees

• 80 degrees

• 160 degrees

• 20 degrees

What unique property do tangent lines have when they intersect a circle?

• They create a 90-degree angle with a line drawn to the center

• They are parallel to the radius

• They create a 45-degree angle with the center

• They intersect the circle at two points

In a kite formed by tangent lines, how do the opposite angles relate?

• They are perpendicular

• They are equal

• They are complementary

• They are supplementary

What is the sum of internal angles in any quadrilateral?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

How many points do tangent lines intersect a circle?

• Two

• One

• Four

• Three

What is the relationship between the angles of a kite formed by tangent lines?

• Opposite angles are complementary

• Opposite angles are supplementary

• Adjacent angles are supplementary

• All angles are equal