Chords Central Angles

What is the measure of Angle XYZ in the figure?

• 45⁰

• 60⁰

• 90⁰

• 180⁰

What is the measure of Arc SR in the figure?

• 5⁰

• 50⁰

• 65⁰

• 115⁰

What is an angle whose vertex is on the circle and whose sides are the chords of the circle?

• Central Angle

• Inscribed Angle

• Intercepted Angle

• Intercepted Arc

What is the value of x in the figure?

• 20⁰

• 40⁰

• 60⁰

• 80⁰

If m∠ABD = 5x+3 and m∠DCA = 4x+10 , what is the m∠DCA and m∠ABD?

• m∠DCA = 38 ; m∠ABD = 34

• m∠DCA = 38 ; m∠ABD = 38

• m∠DCA = 48 ; m∠ABD = 44

• m∠DCA = 48 ; m∠ABD = 48

If m∠7 = 26, what is the measure of arc CL?

• 13

• 26

• 52

• 78

What is the reason?

• Addition Property

• Angle Addition Postulate

• Arc Addition Postulate

• Inscribed Angle Theorem

What is the reason?

• Addition Property

• Angle Addition Postulate

• Arc Addition Postulate

• Inscribed Angle Theorem

A central angle is formed by two radii of a circle and intercepts an arc of the circle.

• TRUE

• FALSE

_____________ is a line segment that joins any two points of the circle.