geometry vocabulary set 1

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Mr s . Es e n ia G ue r r a Geometry Vocabulary  Set 1 (first 34) 1 Friday, September 13, 13

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7/29/2019 Geometry Vocabulary Set 1

http://slidepdf.com/reader/full/geometry-vocabulary-set-1 1/35

Mr s. Ese nia Gue r r a

Geometry Vocabulary Set 1 (first 34)

1Friday, September 13, 13

7/29/2019 Geometry Vocabulary Set 1

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point

 An undefined term. A point has no

length or width. A point determines aspecific location.

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line

 An undefined term. Usually defined by 

an unlimited amount of points in astraight line. A line continues infinitely in both directions.

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plane

 A flat surface with never ending lines.

 A parallelogram is usually used toillustrate a plane.

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space

The set of all possible points; made upof infinite planes.

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segment & ray 

<-- Segment

 A segment is a part or section of a line. It has two

endpoints with a straight line.

Ray -->

 A ray is a subset of a line. It starts at an endpointand extends indefinitely along the line in one

direction.

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length & distance

Length: a measurable distance from onepoint to another pointDistance: the space between two objects orpoints

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direct measurement

 A process of obtaining the

measurement of some entity by reading a measuring tool, such as a

ruler for length, a scale for weight, or a

protractor for angle size

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indirect measurement

 A process where the measurement of some

entity is not obtained by the direct readingof a measuring tool, or by counting of unitssuperimposed alongside or on that entity.

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precision (of a measuring instrument)

the smallest unit of measure on ameasuring instrument

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collinear VS noncollinear

Collinear points: a set of points that

all lie in/on the same line

Noncollinear points: a set of points

that do not lie in/on the same line(at least 3 points)

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coplanar VS noncoplanar

Coplanar points/lines: a set of points

or lines that all lie in/on the same planeNoncoplanar points/lines: a set of points that do not lie in/on the same plane

(at least 4 points)

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intersection

the set of points that are common to 2

or more figures

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opposite rays

Two collinear rays that share only acommon endpoint

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perpendicular lines & planes

perpendicular lines: two lines that intersect toform right angles; for a pair that consists of onehorizontal line and one vertical line, the slopes are 0and undefined, respectively perpendicular planes: two planes that intersectto form right angles

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parallel lines & planes

Parallel lines: two coplanar lines

that do not intersectParallel planes: planes that do notintersect

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skew lines

two noncoplanar lines

line f  and line aare skew 

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 between & betweenness

Between: at some point along a scale from

one amount, distance, weight, etc. to anotherBetweenness: the quality or state of being

 between two others in an orderedmathematical set

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midpoint

the point on a segment that divides the

segment into two congruent(sub)segments

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segment bisector

a line, segment, ray or plane thatintersects a segment at its midpoint

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perpendicular bisector

a line, segment, ray or plane that is

perpendicular to the segment at itsmidpoint

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angle

angle – 2 rays that intersect at a common endpoint vertex (of an angle) – the common endpoint of intersection of the

rays in an angle

side (of an angle) – a ray; interior (of an angle) – the region of aplane bounded by the angle’s sides (where it is measured)

exterior (of an angle) – all points in a plane that are not in theinterior of or on the angle

degrees – the unit of angle measure that we will use in this courseacute angle – an angle whose measure is between 0 and 90 degrees

right angle – an angle whose measure is exactly 90 degreesobtuse angle – an angle whose measure is between 90 and 180

degreesstraight angle – an angle whose measure is exactly 180 degrees

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angle bisector

the ray whose endpoint is the vertex of 

an angle, passes through the interior of the angle, and divides the angle into

two congruent (sub)angles

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congruent & congruence

Congruent: having the same size andsame shapeCongruence: The relationship betweentwo objects that have exactly the same sizeand shape

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congruent figures

Two polygons are congruent if they are

the same size and shape - that is, if their corresponding angles and sidesare equal.

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adjacent angles

two coplanar angles that share only acommon vertex and a common side

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 vertical angles

two coplanar angles that share only a

common vertex and whose sides formtwo distinct pairs of opposite rays

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complementary angles & complement

Complementary angles: two angles

 whose measures sum to 90;Complements: angles that arecomplementary 

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supplementary angles & supplements

supplementary angles: two angles

 whose measures sum to 180;supplements: angles that aresupplementary 

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linear pair

two adjacent angles whose outer sides

form a line (or opposite rays or astraight angle)

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polygon

a plane closed figure that consists of 

segments, which are joined only atendpoints

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equilateral & equiangular

equilateral: a geometric figurehaving all its sides of equal length

equiangular: a figure that hascongruent angles

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triangle

a polygon with three sides; three

noncollinear points that are joined by segments

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circle

circle: the set/locus of all coplanar points thatare equidistant from a pointcenter: the point from which a circle isgeneratedradius: a segment (or the length of it) withone endpoint at the center and the otherendpoint on the circle

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inscribe/inscribed polygon or circle

inscribe: to draw within or inside anotherobjectpolygon inscribed in a circle: a polygon whose vertices are on the circlecircle inscribed in a polygon: a circle thatis tangent to the sides of the polygon