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Geometry Ch1Vocab
High School Math
Question | Answer |
---|---|
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 | |
perpendicular | |
polygon | |
concave | |
convex | |
n-gon | |
regular polygon | |
perimeter |