Geometry Circle Theorem Secants Tangents Two Chords

an angle whose vertex is a point on a circle and whose sides are two chords of the circle

• Corollary 1 of the InscribedAngle Theorem

• Inscribed Angle Theorem

• inscribed angle

The measure of an inscribed angle with the center of the circle in the exterior of the angle is half the measure of its _____ arc. (Corollary 3 of the Inscribed Angle Theorem)

• exterior

• intersected

• intercepted

• inscribed

The measure of an inscribed angle with the center of the circle in the interior of the angle is half the measure of its _____ arc. (Corollary 2 of the Inscribed Angle Theorem)

• intercepted

• intersected

• inscribed

• exterior

A(n) _____ angle is an angle whose vertex is a point on a circle and whose sides are two chords of the circle.

• acute

• obtuse

• inscribed

• intercepted

Which best describes segment AB? (a)  

• chord

• secant

• tangent

• diameter

If two tangents are drawn to a circle from an external point, what is the relationship between these two tangents?

• They are congruent.

• They are perpendicular.

• They intersect at the center.

• They are parallel.

What is the value of x?

• 33.5

• 47

• 80.5

• 114

Find the measure of angle MNQ.

• 89

• 158

• 91

• 22

The measure of an inscribed angle whose side is a _____ is half the measure of its intercepted arc. (Corollary 1 of the Inscribed Angle Theorem)

• chord

• diameter

• circumference

• radius

The measure of an inscribed angle is _____ the measure of its intercepted arc.

• half

• equal to

• one-fourth

• twice