Download SMART Notebook - Manhasset Public Schools

9-1-15
: What are the rules/procedures for Ms. Kundzins' class?
Today's Agenda:
Homework:
Aim #0: What are basic facts of geometry?
CC Geometry H
Do Now: Course Guidelines
Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", metron"measurement") is a branch of mathematics concerned with questions of
shape, size, relative position of figures, and the properties of space.
[Wikipedia]
Undefined
Characteristics/Facts
Terms
no dimension; a location in space
POINT
Fact: Through a point, there is an infinite number of lines.
one dimension; extends in opposite directions infinitely
Fact: Through any two points, there is exactly one line.
LINE
two dimensions
Fact: Through any three non-collinear points, there is
exactly one plane.
PLANE
1. Undefined terms
notation
diagram
or
2. Defined terms
a) half plane ____________________________________________________
b) collinear points ________________________________________________
c) coplanar points ________________________________________________
B
A
C
d) ray __________________________________________
__________________________________________
B
A
Name it:
______
e) opposite rays _________________________________________________
A
Name two opposite rays: _____ and _____
B
f) line segment _________________________________________________
_________________________________________________
A
B
Name the segment: _____ or _____
g) angle _______________________________________________________
C
Name the angle:
________
________
________
Name the 3 angles:
______
______
______
h) angle bisector
A
B
D
C
Name the angle bisector: ____
3. Two or More Angles
a) Adjacent angles ___________________________________
________________________________________________
1
2
The sum of the measures of adjacent angles around a point is ____0.
The sum of the measures of adjacent angles on one side of a line is ___.0
1 2
4 3
1
2 3
b) Linear pair ______________________________________
______________________________________
1
2
c) Vertical angles ________________________________________
4
1
3
2
Name the vertical angles: ____ and ____
____ and ____
Vertical angles are _____ in measure.
m≮__ = m≮__
m≮__ = m≮__
d) Complementary angles_________________________________________
e) Supplementary angles__________________________________________
Two angles that form a linear pair are ____________________.
Exercises:
1. Must complementary or supplementary angles be adjacent? Explain.
2. Are vertical angles adjacent? Explain.
3. Find the measures of each labeled angle. Give a reason for your solution.
a
b
c
4. Find the measure of ≮d. State reasons based on the facts in #3 above
that explain your answer.
d
0