Arcs and Chords

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Transcript Arcs and Chords

Arcs and Chords
Theorem 10.2
• In a circle or in congruent circles, two
minor arcs are are congruent if and only if
their corresponding chords are congruent.
Inscribed – Drawn within.
Circumscribed – Drawn around.
Arcs and Chords
Theorem 10.3
• In a circle, if a diameter or
radius is  to a chord, then
it bisects the chord and its
arc.
Theorem 10.4
• In a circle or congruent
circles, two chords are
congruent if and only if
they are equidistant from
the center.
F
B
G
H
A
E
ADVERTISING A logo for an advertising campaign is a
pentagon that has five congruent central angles.
Determine whether
.
Answer: no
Circle O has a radius of 25 units. Radius
is
perpendicular to chord
which is 40 units long.
a. If
Answer: 145
b. Find CH.
Answer: 10
Chords
and
are equidistant from the center of
If TX is 39 and XY is 15, find WZ and UV.
Answer: