read lesson 1.1, write vocabulary in your pictionary ......read lesson 1.1, write vocabulary in your...
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Good Morning – Geometry Tuesday, September 20th
HomeworkCorrections on Summer Assignment Test
– On separate paper, redo any problem where points
were lost
Read Lesson 1.1, write vocabulary in your
Pictionary Dictionary
Today’s AgendaSUMMER ASSIGNMENT TEST
Vocabulary
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Geometry Vocabulary
Chapter 1
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What is Geometry?
Geometry is the study of
shapes
They studied Geometry
in Ancient Mesopotamia
& Ancient Egypt
Geometry is important
in the creation of art and
architecture.
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Three basic building blocks of
GeometryThe three basics building blocks of
geometry are undefinable, however, they
can be described and represented
– Point, line, plane
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POINTA POINT is the most basic building block of
Geometry.
It has no size, only location.
It is represented with a dot and named with a
capital letter.
The Hershey Kiss represents a POINT on
the line as does the red dot
A●
H
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LINE
D●
E●
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PLANE
A PLANE has length and width, but no
thickness .(no, not the one that flies!)
It is a flat surface that extends infinitely along its
length and width.
A plane is represented with a four-sided figure,
usually a parallelogram.
A plane is named with a script capital letter,
such as P P
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Plane
Imagine sitting on a row boat in the middle
of the ocean. No matter which way you
look…all you see is water…forever
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Definition
A statement that clarifies or explains the
meaning of a word or a phrase
– Square is a quadrilateral that is equiangular
and equilateral.
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Collinear
Points on the same line
– co = together
– linear = pertaining to a line
On the line together
Points A, B, & C are collinear
●
●●
A
B
C
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CoplanarOn the same plane
– co = together
– planar = pertaining to a plane
On the plane together
Points H & J and Line PQ are coplanar on M
●
●
●
●
H
J
P
Q
M
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ENDPOINT
An ENDPOINT is a point at the end of a
ray or line segment. (a capital letter)
Endpoints
●
● ●
F
S B
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LINE SEGMENT
A LINE SEGMENT is part of a ray or line.
It has two endpoints
Name a line segment by its endpoints
●●
Line
Segment
Line Line
Endpoints
PQ
P Q
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CONGRUENT CONGRUENT means the same size and same shape
CONGRUENT LINE SEGMENTS means two line
segments are the same size
– Show congruent segments by making identical markings on
each.
– Parts with the same amount of markings are congruent
● ●
● ●
Slash
or tick
marksIQER
THMA
E R
I Q
ATMH
AM
TH
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MidpointMidpoint of a segment is the point on the
segment that is the same distance from both
endpoints
– bisects the segment
– divides the segment into two congruent segments
Congruent markings on a segment indicate a
point is a midpoint
●●●
Congruent markings, aka, slash marks
QU E
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Midpoint of WHAT?
Can a point have a midpoint?
– a line?
– a square?
– a plane?
– NO, only a segment is finite in length
– There is NO midpoint to infinity
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RAY
A RAY is part of a line, but it has one
endpoint and the other end continues
infinitely.
Name a ray with its endpoint first, followed
by another point on the ray.
●
Endpoint
Raaaaaaaaaaaaaaaaaaaaaaaayyyyyyyyyyyyyyyyyyyyyyyyyyy
JK
J K●
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ANGLESWhen you name an angle. The
vertex/angle point goes in the middle of
the name.
A
B
C
If I wanted to know the measurement of Angle
A…I would ask:” What is the measurement for
<BAC?”
(Notice A is in the center)
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Naming Angles
A
A
TM
P
N M
CB
H
●
●
●
●
●
● ●●
● ●
<ABC, <CBA, <B
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VERTEXA VERTEX is a fancy name for “angle”
Two rays or lines that have the same
endpoint make a VERTEX/angle
VERTEX/angles are measured in
“degrees”
The Corners of
a square are its
vertex/angles
When two
lines cross,
they make
vertex/angles
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VERTICAL LINE
A VERTICAL LINE goes up & down
The candy
bars are
vertical
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HORIZONTAL LINE
A HORIZONTAL LINE goes “across” (left
and right)
The candy
bars are
Horizontal
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OPEN & CLOSED FIGURES
A CLOSED FIGURE/SHAPE starts and
ends at the same point.
An OPEN FIGURE/SHAPE does NOT
start and end at the same point.CLOSED OPEN
●
●
●
Start
End
Start
End
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POLYGONA POLYGON is a “closed” shape
A POLYGON is made up of line segments
that do not cross.
The number of sides gives a POLYGON
its name
POLYGON
NOT POLYGON
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PROTRACTOR
We use a PROTRACTOR to measure
vertex/angles in degrees
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4 TYPES OF ANGLES
ACUTE ANGLES are less than 90°
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4 TYPES OF ANGLES
RIGHT ANGLES measure exactly 90 °
The
“square”
symbol
means
90’
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4 TYPES OF ANGLES
OBTUES ANGLES are greater than 90 °
but less than 180 °
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4 TYPES OF ANGLES
STRAIGHT ANGLE is exactly 180 °
– aka: a line
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The End
Once you study all the fancy
words/vocabulary, Geometry is
very easy to understand…so
STUDY!
You are Learning a new Language.