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If a diameter is to a chord. A. o. B. it must bisect the chord. 5.9 Chords & Inscribed angles. Inscribed angle: angle that has vertex on the circle. A. Made up of 2 chords AB & BC Intercepts AC Inscribed in ABC. o. C. B. <ABC is an inscribed angle.

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5 9 chords inscribed angles

If a diameter is to a chord

A

o

B

  • it must bisect the chord

5.9 Chords & Inscribed angles

5 9 chords inscribed angles1

Inscribed angle:

angle that has vertex on the circle

A

  • Made up of 2 chords
        • AB & BC
  • Intercepts AC
  • Inscribed in ABC

o

C

B

<ABC is an inscribed angle

5.9 Chords & Inscribed angles

5 9 chords inscribed angles2

Inscribed angle rule:

inscribed < is = to ½ its corresponding central <

A

<ABC =

60o

E

<ADC =

60o

o

120o

C

B

  • It’s half the
  • arc it eats

D

60o

<AEC =

5.9 Chords & Inscribed angles

5 9 chords inscribed angles3

Inscribed angles

are congruent when they eat the same arc

A

E

o

C

B

D

<ABC

<ADC

<AEC

5.9 Chords & Inscribed angles

5 9 chords inscribed angles4

Examples

m<ABD =

75o

A

B

o

150o

D

5.9 Chords & Inscribed angles

5 9 chords inscribed angles5

Examples

m<AOD =

30o

A

B

15o

o

D

5.9 Chords & Inscribed angles

5 9 chords inscribed angles6

Examples

m<AOD =

2xo

A

B

xo

o

D

5.9 Chords & Inscribed angles

5 9 chords inscribed angles7

Examples

m<ABD =

90o

A

B

o

D

5.9 Chords & Inscribed angles