Chords Arcs Central and Inscribed Angles

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 chord of a circle is a segment whose endpoints lie on the circle.

• TRUE

• FALSE

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

• TRUE

• FALSE

In a circle, the longer the chord, the smaller the inscribed angle.

• TRUE

• FALSE

The sum of the measures of the central angles of a circle is 360°.

• TRUE

• FALSE

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

_____________ is defined as the part or segment of the circumference of a circle. A straight line that could be drawn by connecting the two ends of the arc is known as a chord of a circle.

The arc formed by the inscribed angle is called the _____________.

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