Circles Secants and Tangents and Angles Measures

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

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

If a quadrilateral is inscribed in a circle, then its opposite angles are _____. (Theorem 7.5D)

• related

• supplementary

• complementary

• inscribed

If inscribed angles in a circle or congruent circles intercept the same arc or congruent arcs, then the angles are _____.

• supplementary

• complementary

• opposite

• congruent

If two secants intersect in the interior of a circle, then the measure of each angle formed is half the _____ of the measures of the intercepted arcs. (Theorem 7.6B)

• result

• sum

• difference

• product

If a tangent and a secant intersect a circle at the point of _____, then the measure of the angle formed is half the measure of the intercepted arc. (Theorem 7.6A)

• tangency

• balance

• equality

• crossing

If a tangent and a secant, two tangents, or two secants intersect in the exterior of a circle, then the measure of the angle formed is half the _____ of the measures of the intercepted arcs. (Theorem 7.6C)

• product

• result

• difference

• sum

• secant-tangent

• secant-secant

• tangent-tangent

• secant-tangent

• tangent-tangent

• secant-secant