Download Aim 0 Class Notes

Aim #0: What are basic facts of geometry?
Do Now: Course Guidelines
1. Undefined terms
Point
Notation
Diagram
Line
A
A
Common Core Geometry X
A
B
or
AB
Plane
BA
Plane P
2. Defined terms
Point that lie on the same line
a) collinear points ________________________________________________
B
A
C
D
Points that lie in the same plane
b) coplanar points________________________________________________
A
C
B
Part of a line that has one endpoint and extends
c) ray _______________________________________
indefinitely in the other direction
_______________________________________
B
A
AB
Name it: ____
Rays that had different endpoints but extend on forever in the same direction
c) collinear rays _________________________________________________
CB
AB ___
Name the collinear rays: ___
C
A
B
Rays that have the same endpoints and extend in opposite directions
d) opposite rays _________________________________________________
AB ___
AC
Name the opposite rays in the diagram in (c): ___
Part of a line that has two endpoints
e) line segment _________________________________________________
A
B
AB or _____
BA
Name the segment: _____
Shape formed by 2 intersecting Lines or Rays
f) angle _______________________________________________________
Name the obtuse angle 3 ways:
C
A
B
Name the 3 acute angles:
ABC
________
ABD
_______
D
CBA
________
C
A
________
B
B
DBA
_______
DBC
_______
g) angle bisector Line or Ray that divides an angle into two congruent angles
A
B
D
C
BD
Name the angle bisector: ____
3. Kinds of Angles
Angle that measures between 0 and 90 degrees
a) Acute angle: _____________________________________________
Angle that measures exactly 90 degrees
b) Right angle: _____________________________________________
Angle that measures between 90 and 180 degrees
c) Obtuse angle: _____________________________________________
Angle that measures exactly 180 degrees
d) Straight angle: ____________________________________________
4. Special Pairs of Angles
Angles that share a common side and vertex
a) Adjacent angles ____________________________________
_________________________________________________
Adjacent angles that form a straight angle
b) Linear pair of angles _____________________________
_____________________________
1
2
1
180
 Angles that form a linear pair sum to _____
.
2
o
A pair on nonadjacent angles formed by intersecting lines
c) Vertical angles ________________________________________
4
1
3
2
Name the pairs of vertical angles:
1
4
3
2
____
and ____
____
and ____
Angles that sum to 90 degrees
d) Complementary angles____________________________________
Angles that sum to 180 degrees
e) Supplementary angles____________________________________
Exercises:
No
1. Must complementary or supplementary angles be adjacent? _____
Explain.
No Explain.
2. Are vertical angles adjacent? ____
3.
A
E
D
O
B
C
Angle
OA is an ___________
bisector
_______________.
65
m≮EOD = _______
State a reason.
Linear Pair/
supplementary angles
115
m≮EOB = _______
State a reason.
Vertical angles are congruent
57.5 State a reason.
m≮EOA = ______
Angle bisector