Transcript section 1.1-1.3 - Fulton County Schools

1.1 Vocabulary
• A segment is a part of a line that begins at
one point and ends at another.
Example:
A
B
• A ray is a part of a line that starts at a point
and extends infinitely in one direction.
Example: D
C
Plane Vocabulary
• Things you should know:
– Points on a plane are said to be collinear if a
single line can contain them all.
– Points on a plane areGsaid to be coplanar if a
single plane can contain them all
Plane EGF:
E
Points E, K, and F are Collinear
k
F
All points are coplanar
• Angles:
Angletastic
– Formed by two rays with a common
endpoint
• “vertex of the angle”
• Rays are the “sides of the angle”
– Divides the plane into two regions:
• INTERIOR
• EXTERIOR
1.1 the Building Blocks of
Geometry
• 1.1 describes the basic geometric figures
• These include points, lines, and planes.
• A point is an undefined term in geometry; a point can be
thought of as a dot that represents a location on a planeL
K
or in a space.
J
I
H
• Here is an example of a point:
F
G
C
DE
N
B
This is point
A.

P
A
O
M
1.1 the Building Blocks of
Geometry
• A line is perfectly straight, contains an infinite
number of points, extend infinitely in two directions,
and have no thickness.
• A plane is a flat surface that extends infinitely in all
directions.
Example
of Plane:
Example of
line:
C
A B
D
E
F G
1.2 Measuring Lengths
• A number line is a line that has been set
up to correspond with real numbers.
– Whats the distance between the red bunny
and the blue bunny?
CONTINUED
• Are you having trouble? To figure out this
puzzling question that may possibly be on
your final…
• Subtract the red bunny from the blue
bunny HINT: (Absolute value of -13 – 3)
thus equating the distance which is…
10!!!
1.2 POSTULATES
• Segment Congruence Postulate: If two
segments have the same length as
measured by a fair ruler, then the
segments are congruent
Are these segments equal?
1.2 POSTULATES
• Segment addition postulate: If point R is
between points P and Q on a line, then
PR+RQ=PQ
P
R
Q
1.2 Measuring Angles
• To measure an angle:
– Put the center of the protractor at the
vertex
– Align the protractor so one ray is on the
line 0
– Read the measure of the other ray.
1.3 POSTULATES
• Angle Congruence Postulate:
– If two angles have the same measure, then
they are congruent
• Angle Addition Postulate
– If point B is the interior of ACE. Then
ACB+BCE= ACE
1.3 Special Pairs
• Complementary pairs:
– Two angles who measures have a sum of
90.
• Supplementary pairs:
– Two angles whose measures have a sum
of 180.
ANGLES
• Three types of angles:
– Right angle- angle whose measure is 90.
– Acute angle- angle whose measure is less
than 90.
– Obtuse angle- angle whose measure is
more than 90.
Extra stufffff.
• http://www.tutorvista.com/search/angles-withthree-different-angles-are-calledtriangle
• http://www.kwiznet.com/p/takeQuiz.php?Chapter
ID=2553&CurriculumID=37&Num=4.4