Download Measure and classify angles * Identify and use congruent angles

September 07, 2016
1.4 Angle Measure
Objective: * Measure and classify angles
* Identify and use congruent angles and the bisector of
an angle
ray:
opposite rays:
September 07, 2016
Obj: * Measure and classify angles
* Identify and use congruent angles and the bisector of
an angle
angle:
A
B
1
C
measured in:
1o = 60'
1' = 60"
Two angles are complementary if their sum is 90o. Find the complement of an
angle with measure 14o 35' .
Two angles are supplementary if their sum is 180o. Find the supplement of an
angle with measure 112o 15' 23".
September 07, 2016
Obj: * Measure and classify angles
* Identify and use congruent angles and the bisector of
an angle
How many degrees are in the angle formed by the hands of a clock
at 2:20pm?
September 07, 2016
Obj: * Measure and classify angles
*Identify and use congruent angles and the bisector of an angle
Another unit to measure angles:
Radian: measure of an angle made when we wrap the radius around the circle.
One Revolution:
r
d
=
2π
360o
September 07, 2016
Obj: * Measure and classify angles
*Identify and use congruent angles and the bisector of an angle
Convert the radians to degrees.
1.
π
Convert the degrees to radians.
1. 150o
3
2.
π
4
2. 90o
September 07, 2016
Obj: * Measure and classify angles
Angle Types:
* Identify and use congruent angles and the bisector of
an angle
acute:
right:
obtuse:
straight:
September 07, 2016
Obj: * Measure and classify angles
* Identify and use congruent angles and the bisector of
an angle
Congruent Angles:
If angles are = , then they have the same meas.
B
A
Angle Bisector:
If an
is bis. then it is divided into 2
A
D
B
C
=
s.
September 07, 2016
Obj: * Measure and classify angles
* Identify and use congruent angles and the bisector of
an angle
4. KJ and KM are opposite rays, and KN bisects
m
JKN = 8x -13 and m
NKL = 6x + 11, find m
N
L
M
K
J
JKL. If
JKN.
September 07, 2016
Examples:
Obj: * Measure and classify angles
A
G
* Identify and use congruent angles and the bisector of
an angle
B
5 7
6
D
E
3
4
F
1. Name all the angles that have B as a vertex.
2. Name the sides of
5.
3. Write another name for
6.
September 07, 2016
Obj: * Measure and classify angles
HW
* Identify and use congruent angles and the bisector of
an angle
HR: (1.4) Pg. 41: 13-27odd, 36,37,41,44,51,52