Welcome Geometry MMrs. Rodriguez
Today is….
Tuesday, August 25, 2014First holiday – Monday
September 6th Labor day – No School
Agenda & News
Intro into Geometry Points, planes, Lines Group practice Assignment Ticket out
First holiday – Monday September 7th Labor day – No School
3 Act Math
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Solve it!
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Intro to Geometry
Geometry is a mathematical system built on accepted facts, basic terms, and definitions.
Points
Points – a location, that has no size. It is usually represented by a small dot and is named by a capital letter.
A geometric figure is a set of points.
Space – is defined as the set of all points.
A B C
Lines
Line – a series of points that extends in two opposite directions without end. You name a line by any two points on the
line, such as: AB
You can also name a line with a single lowercase letter, such as line t.
Collinear Points – Points that lie on the same line
A B t
Practice
Name all points, and lines, if there are any.
1.
2.
3.
4.
Planes
Plane – is a flat surface that has no thickness A plane contains many lines and extends
without end in the directions of all its lines.
You can name a plane by either a single capital letter or at least three of its non collinear points.
Coplanar – Points and lines in the same plane
P
A
B
C
Plane P Plane ABC
Segment
Segments: are part of a line consisting of 2 endpoints and all points between them.
Rays
Rays- are the part of a line consisting of one endpoint and all the points of the line on one side of the end point.
Opposite Rays
Opposite Rays – are 2 collinear rays with the same end point. Opposite rays always form a line.
Postulate 1-1
Postulate 1-2
Postulate 1-3
Postulate 1-4
Got it!
QS RQ SR
Line l
Plane RVSPlane VQS
Why not Plane RQS?
N, Q, T
Got it!
N, T
It is 3 o’clock!
Discuss the following questions with a partner and justify your answer. Given two points, are they sometimes, always, or never collinear? Given two lines, are they sometimes, always, or never coplanar? As you listen to your partner, confirm that your understanding of the vocabulary is consistent with theirs.
Got it #2
DE EF DF
ED FE FD
No, they do not have the same endpoint.Name all the rays in the picture.
Ticket out
How far does a line go in each direction?
What is it called when points are on the same line?
How many directions does a line have?
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