geometry vocabulary set 1
TRANSCRIPT
7/29/2019 Geometry Vocabulary Set 1
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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.
2Friday, September 13, 13
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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
10Friday, September 13, 13
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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)
11Friday, September 13, 13
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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
17Friday, September 13, 13
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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
29Friday, September 13, 13
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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