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Page 1: Geo vocabulary

Geometry VocabularyGeometry Vocabulary

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Page 2: Geo vocabulary

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

Page 3: Geo vocabulary

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.

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

●●

Line Segment

Line Line

Ray

●Endpoints

Page 8: Geo vocabulary

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

● ●

● ●

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

Page 12: Geo vocabulary

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

●●

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!