Arcs Chords and Inscribed Angles

What is the value of x in the figure?

• 20⁰

• 40⁰

• 60⁰

• 80⁰

Tags

CCSS.HSG.C.A.2

What is the value of x in the figure?

• 44⁰

• 88⁰

• 92⁰

• 184⁰

Tags

CCSS.HSG.C.A.2

What is the measure of Arc SR in the figure?

• 5⁰

• 50⁰

• 65⁰

• 115⁰

Tags

CCSS.HSG.C.A.2

What is the value of x in the figure?

• 41⁰

• 82⁰

• 123⁰

• 164⁰

Tags

CCSS.HSG.C.A.2

Match the following

• The measure of an arc formed by two adjacent arcs is the sum of the measure of the two arcs.

• Vertical Angles Theorem

• The endpoints of a diameter lie on an inscribed angle if & only if they inscribed angle is 90⁰

• Arc Additional Postulate

• If a quadrilateral is inscribed in a circle, then its opposite angles add up to 180⁰

• Inscribed Angle of a Diameter Theorem

• The measure of an inscribed angle is equal to half the measure of its intercepted arc.

• Inscribed Quadrilateral Theorem

• Angles that are opposite each other and formed by two intersecting straight lines, are congruent.

• Inscribed Angle Theorem

Tags

CCSS.HSG.C.A.2

What is the measure of arc NM?

• 116

• 117

• 118

• 119

Tags

CCSS.HSG.C.A.2

In the diagram, quadrilateral PQRS is inscribed in circle O. Match each statement with the correct value.

Tags

CCSS.HSG.C.A.2

• 12

• 53

• 96

• 90

Tags

CCSS.HSG.C.A.2

Find a and b.

• a=74 degrees b=93 degrees

• a=93 degrees b=74 degrees

• a=87 degrees b=106 degrees

• a=106 degrees b=87 degrees

Tags

CCSS.HSG.C.A.2

Find the measure of arc AB.

Tags

CCSS.HSG.C.A.2