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Geometry Ch1Vocab

High School Math

point a basic undefined term of geometry; simply a location; used to name lines and planes; they are recognized as a dot and are named by capital letters
line made up of points and has no thickness or width; it is represented with arrowheads at each end; it is usually named by lowercase script letters or by writing capital letters for two points on the line with a double arrow over the pair of letters
collinear points on the same line
plane a flat surface made up of points;it has no depth and extends indefinitely in all directions; it is named by a capital script letter or by three noncollinear points; it is represented by a shaded, slanted 4-sided figure
coplanar points that lie in the same plane
undefined terms words, usually readily understood, that are not formally explained by means of more basic words and concepts. the basic terms of geometry are point, line, and plane
space a boundless, three-dimensional set of all points; contains lines and planes
locus another way to describe a group of points; a set of points that satisfy a particular condition
line segment a measurable part of a line that consists of two points, called endpoints, and all of the points between them
precision the accuracy of any measurement depends on the smallest unit available on the measuring tool
betweenness of points the measure between points; for any two real numbers "a" and "b", there is a real number "n" between "a" and "b" such that a<n<b
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
congruent having the same measure
construction a method of creating geometric figures without the benefit of measuring tools; generally, only a pencil, straightedge, and compass are used
relative error the ratio of the half-unit difference in precision to the entire measure, expressed as a percent
midpoint the point halfway between the endpoints of a segment
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; an arc of a circle with a measure of 1 degrees is 1/360 of the entire circle
ray part of a line; it has one endpoint and extends indefinitely in one direction; named by stating the endpoint first and then any other point
opposite rays also known as a straight angle; its measure is 180 degrees; a point on the line where you can name two rays in opposite direction of each other
angle formed by two noncollinear rays that have a common endpoint
interior a point is in the inside of an angle if it does not lie on the angle itself and it lies on a segment with endpoints that are on the sides of the angle
exterior a point is on the outside of the angle if it is neither on the angle nor in the interior of the angle
right angle an angle with a degree measure of 90
acute angle an angle with a degree measure less than 90
obtuse angle an angle with degree measure greater than 90 and less than 180
angle bisector a ray that divides an angle into two congruent angles
sides the two rays of an angle
vertex the common endpoint of an angle
adjacent angles two angles that lie in the same plane, have a common vertex and a common side, but no common interior points
vertical angles two nonadjacent angles formed by two intersecting lines
linear pair a pair of adjacent angles whose noncommon sides are opposite rays
complementary angles
supplementary angles
regular polygon
Created by: rierei1971