Geometry- Chapter 1 vocab

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between

for any two points A and B on a line, there is another point C between A and B if and only if A,B, and C are collinear and AC+CB=AB

perpendicular

lines that form right angles

midpoint

the point halfway between the endpoints of the segment

precision

the precision of any measurement depends on the smallest unit available on the measuring tool

space

a boundless three dimensional set of all points

polygon

a closed figure whose sides are all segments

regular polygon

a convex polygon in which all sides are congruent and all angles are congruent

plane

a flat surface made up of points

point

a location on a line

line segment

a measure part of a line consists of two points called endpoints and all of the points between them

construction

a method of creating geometric figures without the benefit of measuring tools

linear pair

a pair of adjacent angles whose noncommon sides are opposite rays.

ray

a part of a line

exterior

a point that is neither on the angle nor in the interior of the angle

concave

a polygon for which there is a line containing a side of the polygon that also contains a point in the interior of the polygon

convex

a polygon for which there is no line that contains both a side of the polygon and a point in the interior of the polygon

n-gon

a polygon with n sides

angle bisector

a ray that divides an angle into two congruent angles

segment bisector

a segment, line, or plane that intersects a segment at its midpoint

degree

a unit of measure used in measuring angles and arcs

Acute Angle

an angle with a degree measure less than 90

right angle

an angle with a degree measure of 90

obtuse angle

an angle with degree measure greater than 90 and less than 180

betweenness of points

any two real numbers a and b there is a real number n between a and b such that a<n<b

vertex

common endpoint

collinear points

on the same line

coplanar

points that line on the same plane

sides

rays of an angle

relative error

the ratio of the half-unit difference in precision to the entire measure, expressed as a percent

perimeter

the sum of the lengths of the sides of the polygon

Adjacent angles

two angles that lie in the same plane, have a common vertex, and a common side, but no common interior points

complementary angles

two angles whose measures have a sum of 90

supplementary angle

two angles with measures that have a sum of 180

vertical angles

two nonadjacent angles formed by two intersecting lines.

Angle

two noncollinear rays that have a common endpoint

opposite rays

two rays BA and BC such that B is between A and C

congruent

when segments have the same measure

undefined terms

words that are not formally explained by means of more basic words and concepts


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