Transcript Chapter 1.1-1.3 - Fulton County Schools

Chapter 1.1-1.3
By Skyler Cassity
&
Ryan Tourial
Vocabulary
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Point- geometric points that have no size,
usually depicted as a dot.
Lines- geometric line has no thickness, is
perfectly straight, and extends forever.
Planes- geometric plane extends infinitely
in all directions along a flat surface.
Collinear- points that are all contained on
a single line.
Vocabulary
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Coplanar- points that are all contained in a
single plane
Segment- part of a line that begins at one
point and ends at another
Endpoints- the points that end the
segment
Ray- part of a line that starts at a point
and extends infinitely in one direction
Vocabulary
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Endpoint- the end of one side of the ray
Angle- figure formed by two rays with a
common endpoint
Vertex of the Angle- The common
endpoint of the two rays in an angle
Sides of the Angle- the rays in an angle
Interior of an Angle- the area inside of the
angle
Vocabulary
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Exterior of an Angle- the area outside of
the angle
Intersect- when geometric figures have on
or more points in common
Intersection- the set of points that they
have in common
Postulates- fundamental geometry ideas
involving intersections of geometric figures
Vocabulary
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Number Line- line that has been set up to
correspond with real numbers
Coordinate of a Point- a point on a
number line that is always a real number
Length- the measure between points on a
number line l a-b l or l b-a l
Unit Length- a distance between
something in measurements
Vocabulary
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Congruent- figures that are the same
shape and size
Degree- the most common unit for
measuring angles
Complementary angles- are two angles
whose measure have a sum of 90
degrees.
Vocabulary
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Supplementary Angles- two angles whose
measures have a sum of 180 degrees.
Right Angles- angle whose measure is 90
degrees
Acute Angle- Angle whose measure in less
than 90 degrees
Obtuse Angle- Angle whose measure is
greater than 90 degrees
Postulates and Theorems
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The intersection of two lines is a point.
The intersection of two planes is a line.
Through any two points there is exactly
one line.
Through any three non collinear points
there is exactly one plane.
If two points are in a plane, then the line
containing them is in a plane.
Postulates and Theorems
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Segment Congruence Postulate- If two segments
have the same length and measure by a fair
ruler, then the segments are congruent. Also, if
two segments are congruent, then they have the
same length as measured by a fair ruler.
Segment addition postulate- If point R is
between points P and Q on a line then
PR+RQ=PQ
Postulates and Theorems
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Angle Congruence Postulate- If two angles
have the same measure, then they are
congruent. If two angles are congruent,
then they have the same measure.
Angle Addition Postulate- If point S is in
the interior of angle PQR, then angles PQS
+ SQR = PQR
Linear Pair Property- If two angles form a
linear pair, then they are supplementary.
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Point: A, B, C, T
Segments: AB, AC, BC, AT, BT, CT
Angles: BAC, ABC, ACB, ATB, BTC, CTA
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Picture A is of a ray
Picture B is of a line
Picture C is of a segment
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The blue object in this picture is a plane
Practice Problems
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http://www.kwiznet.com/p/takeQuiz.php?
ChapterID=2435&CurriculumID=22
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What is geometric object one, two, and
three.
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Using the figure, what is the measure of
the segment shown?
Question 3 & 4
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What is a geometrical object that extends
infinitely in all directions on a flat surface.
This can also be named with three points.
Name the five types of angles and explain
what each is.
Answers
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Segment, Ray, Line
7
Plane
Complementary Angles, Supplementary
Angles, Right Angles, Acute Angles,
Obtuse Angles