Download Chapter One - Frankumstein

Chapter One
The 3 undefined terms
in Geometry are
______, ______ and ______
The 3 undefined terms
in Geometry are
point, line and plane
Always, Sometimes or Never?
1.
2.
3.
4.
2 points are _____ collinear
3 points are _____ coplanar
3 points _____ lie on exactly one plane
3 points _____ lie on exactly one line
1. 2 points are always collinear
2. 3 points are always coplanar
3. 3 points sometimes lie on exactly one plane
4. 3 points sometimes lie on exactly one line
~
If AB = XY
then _____ = ______
AB = XY
LN = _____
L
-10
N
15
LN = 15 – (-10) = 25
The midpoint of a segment
divides it into
_____ _____ _____.
The midpoint of a segment
divides it into
two congruent segments.
B
M
A
AM ~
= MB
Opposite rays share the same
__________.
Opposite rays share the same
endpoint.
C
B
A
( BA and BC )
Match The Following:
___ 1. Line AB
___ 2. Ray AB
___ 3. Segment AB
___ 4. Length of
Segment AB
a.
b.
c.
d.
AB
AB
AB
AB
1- c
2- a
3- d
4- b
________ lines
do not intersect and
are coplanar
Parallel lines
do not intersect and
are coplanar
_________ lines
do not intersect and
are NOT coplanar
Skew lines
do not intersect and
are NOT coplanar
S
N
L
LN + NS = LS
because _________________.
Segment Addition Postulate
Name the following angles:
1.
3.
2.
4.
.
1.
2.
3.
4.
Obtuse
Right
Acute
Straight
Perpendicular lines intersect to
form ______ angles.
Perpendicular lines intersect to
form right angles:
a
m
a
m
A
1
B
2
C
m 1 + m 2 = m ABC
because______________.
Angle Addition Postulate
Midpoint Formula:
B (x2 , y2)
M ( _____ , _____ )
A (x1 , y1)
Midpoint =
x1 + x2 , y1 + y2
2
2
average
Find the midpoint of segment AB
where A (-6, -5) and B (-4,3)
M = -6 + -4 , -5 + 3 = (-5, -1)
2
2
Find LN:
N ( x2 , y2 )
L ( x1 , y1 )
LN = (x1 – x2 + (y1 – y2
2
)
(Distance Formula)
2
)
FOR RECTANGLES:
A = ( ____ )( ____ )
P = 2( ____ ) + 2( ____ )
A = lw
P = 2l + 2w
Width (w)
Length (l)
FOR SQUARES:
A = ( ____ )2
A = s2
side (s)
FOR CIRCLES:
A =_______
C = _________
CIRCLES
A=
2
r
C = 2r
Constructions are performed
using only a ____________
and a _____________.
Constructions are performed
using only a compass
and a straightedge.
CONSTRUCTIONS TO KNOW!
- Copy Segment
- Bisect Segment
- Copy Angle
- Bisect Angle