Circle Theorem Secants and Tangents

Which of the following word will make the statement true: If two secants intersect in the interior of a circle, then the measure of an angle formed is one-half the _______of the measures of the arcs intercepted by the angle and its vertical angle.

• difference

• product

• ratio

• sum

In circle P, the diameter is 26 cm, and the chord is 24 cm. What is the distance of between the chord and the center of the circle?

• 3 cm

• 4 cm

• 5 cm

• 6 cm

Find the radius of the circle if its chord is 8cm and its distance from the center is 3cm.

• 5 cm

• 6 cm

• 7 cm

• 8 cm

A quadrilateral is inscribed in a circle. If the measures of two of its angles are 65 and 145, what are the measures of the other two angles?

• 25 and 35

• 35 and 115

• 65 and 145

• 25 and 125

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

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

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