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Chapter 1.1-1.3. 1.1 Vocabulary. A segment is a part of a line that begins at one point and ends at another. A ray is a part of a line that starts at a point and extends infinitely in one direction. Example:. Example:. Plane Vocabulary. Things you should know: - PowerPoint PPT Presentation
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1.1 Vocabulary
• A segment is a part of a line that begins at one point and ends at another.
• A ray is a part of a line that starts at a point and extends infinitely in one direction.
AB
Example:
D CExample:
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 are said to be coplanar if a single plane can contain them all
k
G
E FPlane EGF:
Points E, K, and F are Collinear All points are coplanar
Angletastic• Angles:
– 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 plane or in a space.
• Here is an example of a point:
This is pointA.
C
B
A
P O
N
GFDEH
I
JK
L
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.
A GB C D E F
Example of line:
Example of Plane:
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-with-three-different-angles-are-calledtriangle
• http://www.kwiznet.com/p/takeQuiz.php?ChapterID=2553&CurriculumID=37&Num=4.4
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