10-3 arcs and chords
DESCRIPTION
10-3 Arcs and Chords. Arcs and Chords. In a circle (or 2 congruent circles) two minor arcs are congruent if and only if their corresponding chords are congruent. A. B. C. D. Inscribed and Circumscribed Polygons. - PowerPoint PPT PresentationTRANSCRIPT
10-3 Arcs and 10-3 Arcs and ChordsChords
Arcs and Chords
• In a circle (or 2 congruent circles) two minor arcs are congruent if and only if their corresponding chords are congruent.
A
B
C
D
CDABCDAB then If
Inscribed and Circumscribed Polygons
• If all the vertices of a polygon lie on a circle then the polygon is inscribed in the circle
• The circle is circumscribed about the polygon because it contains the vertices
A
B
C
D
E
Diameters and Chords
• If a diameter (or radius) is perpendicular to a chord then it bisects the chord and its arc
B
C
A
TU V
AVAT
UVUTTVBA
and
then , If
Example:
• Circle W has radius 10 cm. Radius WL is perpendicular to chord HK and HK is 16 cm.
• If mHL = 53, find mMK
• Find JL
HJ
K
L
W
M
Chords equidistant from the center• In a circle, 2 chords are congruent if and
only if they are equidistant from the center
• Example: EF and GH are equidistant form the center. If the radius is 15 and EF=24, Find PR and RH
R
P
QE
F
G
H
Example:• Radius of N is 18, NK=9, mDE=120
• Find m<HNE
• Find HN
• Find HE
• Find mGE
X
K
Y
N
D H E
G