Measu

ring

Angle

sA

ngle

In

terio

rN

ota

tion

Angle

Naming Angles:

We name an angle ___________________________________________________.

Acceptable: ______________________

Unacceptable: ____________________

Order Matters! _____________________________________________________.

C

A T

Geometry/Trig 2 Name: _________________________Angles – Notes & Exploration Date: __________________________

The two rays are called the ____________.

The shared endpoint is called the __________.

Angle: ____________________________________________________________

__________________________________________________________________

Alt

ern

ate

Nota

tion Sometimes, you can name an

angle just with the vertex. This angle could be ______.

Sometimes using only one letter may not be __________

__________________; it may refer to more than one angle.

IF THERE IS ANY DOUBT, USE _____LETTERS!

C

A T

We also may name angles with numbers.

Angle Interior: _______________________________

___________________________________________

T

E

H

Measuring Angles: We measure angles using a ________________. The units for angle measurement is either degrees or radians. In this class we will use degrees.

Symbol for degree: ____________

Measure of an angle: ___________

A

BC

D

F

GH

J

K

L

MN

Q

P R S

TW

Angle

Addit

ion P

ost

ula

te

Typ

es

of

Ang

les

Acute Angle Obtuse Angle

Right Angle Straight Angle

Definition: ______________________

_______________________________

Diagram:

Definition: _______________________

________________________________

Diagram:

Definition: ______________________

_______________________________

Diagram:

Definition: _______________________

________________________________

Diagram:

Adjacent Angles: ____________________________________________________ __________________________________________________________________

A

BC

D ÐABD and ÐDBC ______________________________________ ___________________________________________________

ÐABD and ÐABC ______________________________________ ___________________________________________________

Angle Addition Postulate

If point B lies _____________________ _________________________________

Angle Addition Postulate – Special Case

If ÐDGF is ______________________ ______________________________________________________________

A

QC

B

D G F

mÐAQB

mÐBQC

mÐAQC

mÐAQB + mÐBQC

mÐDGH

mÐHGF

mÐDGF

mÐDGH + mÐHGF

Congru

ent

Ang

les

& A

ngle

Bis

ect

or

Vert

ical A

ngle

sC

om

ple

menta

ry A

ng

les

Su

pple

menta

ry A

ngle

sCongruent Angles: _______________

______________________________

mÐCAT

mÐDOG

Angle Bisector: _________________

______________________________

mÐGHJ

mÐGHM

mÐMHJ

Complementary Angles: Two angles

whose measures sum to ______.

(They may be non-adjacent

(_____________) or adjacent

(__________________)).

Diagrams:

Supplementary Angles: Two angles

whose measures sum to ______.

(They may be non-adjacent

(_____________) or adjacent

(__________________)).

Diagrams:

Vertical Angles: Two _____________

_____________________________________

_______________________

Example: ______________________

Diagram:

Vertical Angle Theorem: __________

_____________________________

mÐABD

mÐCBE

mÐDBC

mÐEBA