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

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.C.A.2

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

• half

• equal to

• one-fourth

• twice

Tags

CCSS.HSG.C.A.2

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

• related

• supplementary

• complementary

• inscribed