Notation
Rays and Angles
Protractor Postulate
Betweenness of Rays
Theorems and Definitions
100
How do you say
vec\(AB)
Ray AB
100
What is the vertex of the angle?
E
100
How many degrees are in a right angle?
90°
100
State which ray is in the middle.
\vec(JD)
100
This is a pair of rays that have the same endpoint.
An angle
200
What kind of numbers do angle measures have to be?
Positive numbers
200
Name ∡1 differently.
∡BOL or ∡LOB
200
Name this angle.
∡ABC, ∡CBA, ∡B
200
If
\vec(SN)
bisects ∡ASD, then what is the relationship between ∡ASN and ∡NSD
They are equal
200
What is the definition of an obtuse angle?
It measure is more than 90° but less than 180°.
300
How is ∡BAC different from ∠BAC?
∡BAC is the name of the angle.
∠BAC is the measure of the angle.
300
What kind of angles are ∡1 and ∡2?
Linear pair
300
What are 30 and 75 called?
Coordinates
300
If you have a right angle that is bisected by a ray, what is the measure of the 2 smaller angles?
45°
300
A ray bisects an angle iff?
It is between the sides of the angle and divides it into two equal angles.
400
Name me one of the rays in this photo.
\vec(OA), \vec(OB), \vec(OC)
400
What kind of angles are ∡1 and ∡3?
Vertical angles
400
125°
400
How do you symbolize this?
\vec(BL)-\vec(BU)-\vec(BE)
400
Definition (Betweenness of Rays)
Suppose that rays OA, OB, and OC are in a half-rotation with coordinates a, b, and, c. Ray OB is between rays OA and OC iff?
a < b < c or a > b > c
500
What is this saying?
\vec(YG)-\vec(YR)-\vec(YA)
Ray YR is in between rays YG and YA
500
What kind of rays are this?
Opposite rays
500
Convert 22.6° into degrees and minutes.
22°36'
500
Betweeness of Rays Theorem
If
\vec(OA)-\vec(OB)-\vec(OC)
, then
∠AOB + ∠BOC = ∠AOC
500
Angle Bisector Theorem
A ray that bisects an angle, does what?
It divides it into angles half as large as the angle.