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Geometry vocab

conclusion the phrase following the word, "then"
conditional statement a statement that can be written in if-then form
conjecture an educated guess based on known information
conjunction a compound statement formed by joining two or more statements with the word "and"
contrapositive negating both the hypothesis and conclusion of the converse statement (~q ~p)
converse exchanging the hypothesis and conclusion of the conditional.
counterexample the false example
deductive argument a group of algebraic steps used to solve problems
deductive reasoning takes all sorts of facts, and takes those to determine whether the hypothesis is true or not(like science with experiments)
disjunction a compound statement formed by joining two or more statements with the word "or"
hypothesis the phrase following the word "if"
if-then statement written in the form of if p, then q.
inductive reasoning reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction
inverse negating both the hypothesis and conclusion of the conditional
negation opposite meaning as well as the opposite truth value
paragraph proof aka informal proof you write a paragraph to explain why a conjecture for a given situation is true.
postulate aka axiom a statement that is accepted as true
proof a logical argument in which each statement you make is supported by a statement that is accepted as true.
theorem a statement that has been shown to be true, and can be used to justify that other statements are true.
truth value the truth or falsity of a statement
two-column proof aka formal proof contains statements and reasons organized in two columns
acute angle the measure of the angle is less than 90
adjacent angles two angles that lie in the same plane, have a common vertex and a common side, but no common interior points
angle formed by two noncollinear rays that have a common endpoint
angle bisector a ray that divides an angle into two congruent angles
area the number of square units needed to cover a surface
bases Two parallel congruent faces
circumference the distance around the circle
collinear points on the same line
complementary angles two angles with measures that have a sum of 90
concave no points of the lines are in the interior
cone A circular base and a vertex
congruent segments that have the same measure
construction methods of creating geometric figures without the benefit of measuring tools
convex some of the lines pass through the interior
coplanar points that lie on the same plane
cylinder A solid with congruent circular bases in a pair of parallel planes
degree the unit used for dividing the distance or circumference into parts. circles have 360 degrees
edges The line segments where the faces interesect
face Each flat surface
line made up of points and has not thickness or width
linear pair a pair of adjacent angles with noncommon sides that are opposite rays (supplementary and 180 degrees)
line segment piece of a line with two endpoints.
midpoint the point of the segment that divides the segment into two congruent segments
obtuse angle the measure of the angle is less than 180 but more than 90
opposite rays the point that determines exactly two rays
perimeter the sum of the length of the sides of the polygon
perpendicular lines, segments, or rays that form right angles
plane a flat surface made up of points
point a location
polygon a closed figure whose sides are all segments
polyhedron A solid with all flat surfaces that enclose a single region of space is called _______.
prism A polyhedron with two parallel congruent faces called bases.
pyramid A polyhedron with all faces (except for one) intersecting at one vertex is a _________.
ray part of a line with one endpoint and extends indefinitely on the other end
right angle the measure of the angle is 90
segment bisector any segment, line, or plane that intersects a segment at its midpoint
sides the rays make up the sides of the angle
space a boundless, three-dimensional set of all points. space contains lines and planes
sphere A set of points in space that are a given distance from a given point.
supplementary angles two angles with measures that add up to a sum of 180
undefined terms Words, usually readily understood, that are not formally explained by means of more basic words and concepts. The basic undefined terms of Geometry are point, line, and plane.
vertex the common endpoint
vertical angles two nonadjacent angles formed by two intersecting lines
Created by: Elphaba12