Understanding Central Angles and Theorems

What forms when two radii are drawn from the center of a circle?

• A secant

• A diameter

• A central angle

• A tangent

If a central angle measures 90 degrees, what is the measure of the corresponding arc?

• 45 degrees

• 90 degrees

• 360 degrees

• 180 degrees

According to the first central angle theorem, what is true if two central angles are congruent?

• Their chords are congruent

• Their arcs are congruent

• Their diameters are equal

• Their radii are equal

What does the second central angle theorem state about congruent central angles?

• They have congruent diameters

• They have congruent chords

• They have equal tangents

• They have equal radii

If angle COD is congruent to angle AOB, what can be said about chord AB and chord CD?

• Chord CD is longer

• Chord AB is congruent to chord CD

• Chord AB is perpendicular to chord CD

• Chord AB is longer

In a circle with diameters AD and CB, if angle DOB is 110 degrees, what is angle AOB?

• 110 degrees

• 90 degrees

• 70 degrees

• 180 degrees

Given that angle AOB is 70 degrees, what is the measure of arc AB?

• 140 degrees

• 70 degrees

• 180 degrees

• 35 degrees

If angle COD is 70 degrees, what is the measure of arc CD?

• 35 degrees

• 180 degrees

• 140 degrees

• 70 degrees

If chord AB is 10 units long, what is the length of chord CD given that angle COD is congruent to angle AOB?

• 20 units

• 15 units

• 10 units

• 5 units

Where can you find more practice questions on central angle theorems?

• mathslucks.org

• geometryhelp.com

• mathpractice.net

• circlemaths.org