Download 1:6 Exploring Angles

We learn by doing.
If we do nothing, we learn nothing.
The more we do, the more we learn.
1:6 Exploring Angles
OBJECTIVES:
Use the Angle Addition Postulate to find the
measures of angles
Use congruent angles and the bisector of an angle
RELEVANCE:
Ray


Extends indefinitely in one direction.
EXAMPLES:
.
R
.
H
.
D
.
M
Ray MR (MR)
Ray DH ( DH)

The endpoint must be the first letter in
the name
Opposite Rays


Form a line
Referred to as a straight angle
.
B

.
C
.
M
CB and CM are opposite rays
Angle




Formed by two rays with a common
endpoint.
The two rays are called the sides
The common endpoint is the vertex
EXAMPLE:
A
<ABC
B
1
<B
C
<1
.
.
.
Types of Angles




Acute Angles – measure less than 90º
Right Angles – measure 90º
Obtuse Angles – measure more than
90º
Don’t forget the STRAIGHT ANGLE!
Angle Bisector

A ray that divides an angle into two
congruent angles
Angle Addition Postulate

If R is in the interior of PQS, then
mPQR + mRQS = mPQS.