Chords, Arcs, Central Angles, and Inscribed Angles

It is a segment joining any two points on the circle.

• Chord

• Diameter

• Radius

• Semicircle

It is the longest chord.

• Chord

• Diameter

• Radius

• Semicircle

If m∠ABD = 5x+3 and m∠DCA = 4x+10, find the value of x.

• 7

• 8

• 9

• 10

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

It is a true statement that can be proven.

• Postulate

• Proof

• Reason

• Theorem

It is a statement that is accepted to be true without proof.

• Postulate

• Proof

• Reason

• Theorem

8. What is the reason?

• Addition Property

• Angle Addition Postulate

• Arc Addition Postulate

• Inscribed Angle Theorem

9. What is the reason?

• Addition Property

• Angle Addition Postulate

• Arc Addition Postulate

• Inscribed Angle Theorem

10. What is the reason?

• Addition Property

• Angle Addition Postulate

• Arc Addition Postulate

• Inscribed Angle Theorem