Download Honors Geometry Central Angle - Minor Arc - Major Arc

Name
Honors Geometry
Arc =
Central Angle -
Minor Arc -
Major Arc -
Semicircle The Measure of an Arc
Minor Arc Major Arc Congruent Arcs -
Put it all together:
Date
Arcs of a Circle
Practice:
Given: Two concentric circles with center O0 and ~BOC is acute
I) Name a major arc of the smaller circle.
2) Name a minor arc of the larger circle.
3) What is m~-~+ m~-~.
4) Wh~Lich is greater, m~B~ or mPQ?
5) Is’B~congruent to~’?.
A
c
Find each:
6)
7)
8) m~D-~c
9) ~A~b10) mBAD
A
B
D
What does all of this mean?
Theorem: If two central angles of a circle (or of congruent circles) are congruent, then
their intercepted arcs are congruent.
Theorem: If two arcs of a circle (or of congruent circles) are congruent, then the
corresponding central angles are congruent.
Theorem: If two central angles of a circle (or of.congruent circles) are congruent, then the
corresponding chords are congruent.
Theorem: If two chords of a circle (or of congruent circles) are congruent, then the
corresponding central angles are congruent.
Theorem: If two arcs of a circle (or congruent circles) are congruent, then the
corresponding chords are congruent.
Theorem:, If two chords if a circle (or of congruent circles) are cengruent, then the
corresponding arcs are congruent.
Now what????
Practice:
1"t) Given: Circle B
D is the midpoint of arc AC.
Prove: Ray BD bisects angle ABC
c
12) Given:
Prove:
"i 3) Given: Circte E
,~B ~ CD
Prove:
FB = CG
E
A
D