geo vocabulary
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Geometry VocabularyGeometry Vocabulary
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What is Geometry?What is Geometry?
Geometry is the study of shapesGeometry is the study of shapes
They studied Geometry in Ancient They studied Geometry in Ancient Mesopotamia & Ancient EgyptMesopotamia & Ancient Egypt
Geometry is important in the art and Geometry is important in the art and construction fieldsconstruction fields
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POINTPOINT
A POINT is an exact location on a graph, A POINT is an exact location on a graph, shape or in “space”.shape or in “space”.
The Hershey Kiss is a POINT on the lineThe Hershey Kiss is a POINT on the line
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LINELINE
A LINE goes in opposite directions and A LINE goes in opposite directions and never, never, never ends.never, never, never ends.
Imagine if this Twizzler went on forever and ever and ever and ever and ever and ever
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RAYRAY
A RAY is part of a line, but it has one A RAY is part of a line, but it has one endpoint and the other end keeps going.endpoint and the other end keeps going.
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Endpoint
Raaaaaaaaaaaaaaaaaaaaaaaayyyyyyyyyyyyyyyyyyyyyyyyyyy
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ENDPOINTENDPOINT
An ENDPOINT is a point at the end of a An ENDPOINT is a point at the end of a ray or line segment.ray or line segment.
Endpoint
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LINE SEGMENTLINE SEGMENT
A LINE SEGMENT is part of a ray or line.A LINE SEGMENT is part of a ray or line.
It has two endpointsIt has two endpoints
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Line Segment
Line Line
Ray
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VERTEXVERTEX
A VERTEX is a fancy name for “angle”A VERTEX is a fancy name for “angle”
Two rays or lines that have the same Two rays or lines that have the same endpoint make a VERTEX/angleendpoint make a VERTEX/angle
VERTEX/angles are measured in VERTEX/angles are measured in “degrees”“degrees”
The Corners of a square are its vertex/angles
When two lines cross, they make vertex/angles
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CONGRUENTCONGRUENT
CONGRUENT means the “same”CONGRUENT means the “same”
CONGRUENT LINE SEGMENTS means CONGRUENT LINE SEGMENTS means two line segments are the sametwo line segments are the same
CONGRUENT Vertex/Angles means two CONGRUENT Vertex/Angles means two angles are the sameangles are the same
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The Hershey & Crunch Bar are a Congruent size
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VERTICAL LINEVERTICAL LINE
A VERTICAL LINE goes up & downA VERTICAL LINE goes up & down
The candy bars are vertical
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HORIZONTAL LINEHORIZONTAL LINE
A HORIZONTAL LINE goes “across” (left A HORIZONTAL LINE goes “across” (left and right)and right)
The candy bars are Horizontal
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PLANEPLANE
A PLANE (no, not the one that flies!) is a flat A PLANE (no, not the one that flies!) is a flat surface that goes on forever in all directions.surface that goes on forever in all directions.
Imagine sitting on a row boat in the middle Imagine sitting on a row boat in the middle of the ocean. No matter which way you of the ocean. No matter which way you look…all you see is water…forever.look…all you see is water…forever.
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OPEN & CLOSED FIGURESOPEN & CLOSED FIGURES
A CLOSED FIGURE/SHAPE starts and A CLOSED FIGURE/SHAPE starts and ends at the same point.ends at the same point.
An OPEN FIGURE/SHAPE does NOT An OPEN FIGURE/SHAPE does NOT start and end at the same point.start and end at the same point.
CLOSED OPEN
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Start
End
Start
End
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POLYGONPOLYGON
A POLYGON is a “closed” shapeA POLYGON is a “closed” shape
A POLYGON is made up of line segments A POLYGON is made up of line segments that do not cross. that do not cross.
The number of sides gives a POLYGON The number of sides gives a POLYGON its nameits name
POLYGON
NOT POLYGON
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PROTRACTORPROTRACTOR
We use a PROTRACTOR to measure We use a PROTRACTOR to measure vertex/angles in degreesvertex/angles in degrees
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4 TYPES OF ANGLES4 TYPES OF ANGLES
ACUTE ANGLES are less than 90ACUTE ANGLES are less than 90°°
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4 TYPES OF ANGLES4 TYPES OF ANGLES
RIGHT ANGLES measure exactly 90 RIGHT ANGLES measure exactly 90 °°The “square” symbol means 90’
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4 TYPES OF ANGLES4 TYPES OF ANGLES
OBTUES ANGLES are greater than 90 OBTUES ANGLES are greater than 90 ° ° but less than 180 °but less than 180 °
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4 TYPES OF ANGLES4 TYPES OF ANGLES
STRAIGHT ANGLE is exactly 180 STRAIGHT ANGLE is exactly 180 °°
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ANGLESANGLES
When you “name” an angle. The When you “name” an angle. The vertex/angle “letter/number” goes in the vertex/angle “letter/number” goes in the center of the labelcenter of the label
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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The EndThe End
Once you study all the “fancy words”, Once you study all the “fancy words”, Geometry is very easy to understand…so Geometry is very easy to understand…so STUDY!STUDY!