2.3 Arcs and Angles power pt prsentation

B
O
A
C
Central Angle
- An angle whose
vertex is the center
of the circle

B
O
A
C
Minor Arc
The minor arc AB is
the union of points A
and B and all the
points of the circle in
the interior of the
central angle AOB.

B
O
A
C
Major Arc
The major arc ACB is
the union of points A
and B and all the
points of the circle in
the exterior of the
central angle AOB.

B
O
C
Semicircle
The semicircle is the
union of the endpoints
of a diameter and all
points of the circle that
lie on one side of the
diameter.
D

B
O
A
C
The degree measure
of the minor arc is
equal to the measure
of the central angle.
40
40
320

B
O
A
C
The degree measure of
the major arc is equal
to 360 minus the
degree measure of its
related minor arc.
40
40
320

B
O
C
D
The degree measure of
a semicircle is 180.
180

M
C
A
The measure of an
arc formed by two
adjacent, non-
overlapping arcs is
the sum of the
measures of the two
arcs.
Arc Addition
Postulate
B
D
225
40
70
25

M
C
A
- Arcs with the same
measure
Congruent Arcs
B
D
40
40

O
C
A
B D
Theorem 102
If two minor arcs of a
circle or of congruent
circles are congruent,
then their
corresponding chords
are congruent.

O
C
A
B D
Theorem 103
If two chords of a circle
or of congruent circles
are congruent, then
their corresponding
minor arcs are
congruent.

O
C
A
B D
Theorem 104
If two central angles of
a circle or of congruent
then their
corresponding minor
arcs are congruent.

O
C
A
B D
Theorem 105
If two minor arcs of a
circle or of congruent
then their
corresponding central
angles are congruent.

O
C
A
B D
Theorem 106
If two central angles of
a circle or of congruent
then their
corresponding chords
are congruent.

O
C
A
B D
Theorem 107
If two chords of a circle
or of congruent circles
are congruent, then
their corresponding
central angles are
congruent.

O C
A
B
In Circle O, . Find the
measure of the major
arc ABC. 48

Seatwork 2.3
Work on Written
Math (A, 1 – 2) on
page 231.

Homework 2.2
Work on Written
Math (A, 3 – 5) on
page 231.

A circle is the set of all points
that are of the same distance
from a given point in a plane.
The given point is called the
center of the circle.
The segment from the center to
any point on the circle is called
the radius.
A segment whose endpoints
both lie on the circle is called
the chord.
A chord that passes through
the center of the circle is called
diameter.
A secant is a line that
intersects the circle in two
points.
A tangent is a line that
intersects the circle in exactly
one point.

2.3 Arcs and Angles power pt prsentation

More Related Content

Similar to 2.3 Arcs and Angles power pt prsentation (20)

More from MarkAnthonyBIsrael (17)

Recently uploaded (20)

2.3 Arcs and Angles power pt prsentation