Inscribed Angles and Related Theorems Quiz

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

• Equal to the intercepted arc

• Half the intercepted arc

• Twice the intercepted arc

• One-third the intercepted arc

If two inscribed angles intercept the same arc, what can be said about these angles?

• They are supplementary

• They are congruent

• They are equal to the arc

• They are complementary

What is the measure of an angle inscribed in a semicircle?

• 90 degrees

• 60 degrees

• 45 degrees

• 180 degrees

In a triangle inscribed in a semicircle, if one angle is 90 degrees, what is the sum of the other two angles?

• 180 degrees

• 90 degrees

• 60 degrees

• 45 degrees

What is true about opposite angles in a quadrilateral inscribed in a circle?

• They are congruent

• They are supplementary

• They are equal

• They are complementary

If a quadrilateral is inscribed in a circle, and one angle measures 70 degrees, what is the measure of its opposite angle?

• 70 degrees

• 110 degrees

• 90 degrees

• 180 degrees

Given an arc measure of 108 degrees, what is the measure of the inscribed angle intercepting this arc?

• 72 degrees

• 216 degrees

• 108 degrees

• 54 degrees

If AC is a diameter in circle O, what is the measure of arc ABC?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

What does the chord-tangent angle theorem state about the angle formed by a chord and a tangent?

• It is equal to the intercepted arc

• It is twice the intercepted arc

• It is half the intercepted arc

• It is one-third the intercepted arc

If a chord and a tangent form an angle measuring 40 degrees, what is the measure of the intercepted arc?

• 40 degrees

• 160 degrees

• 20 degrees

• 80 degrees