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37 Cards in this Set

  • Front
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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.

point

A location; has no shape or size.

Line

Made of points; no thickness/width

plane

flat surface

collinear

points on the same line

coplanar

points on the same plane

intersection

Objects cross at a common point, line, or plane.

Space

a boundless, three-dimensional set of all points

Line Segment

Part of a line with two endpoints.

betweenness of points

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 + BC = AB.

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 + BC = AB.

congruent segments

Line Segments are equal.

ray

part of a line; one endpoint.

opposite rays

Two rays with a common endpoint; forms a straight line.

Angle

created by two noncollinear rays with one common endpoint

sides

The rays of an angle

vertex

common endpoint of an angle

interior

a point is in the interior 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 in the exterior of an angle if it is neither on the angle nor in the interior of the angle.

degree

A unit of measure used in measuring angles and arcs.

right angle

angle in which the measurement is 90 degrees.

acute angle

angle in which the measurement is less than 90 degrees.

obtuse angle

angle in which the measurement is greater than 90 degrees.

angle bisector

Ray that divides an angle into two equal halves.

adjacent angles

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

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

linear pair

2 angles that create a straight line

vertical angles

nonadjacent angles created by two intersecting lines; congruent.

nonadjacent angles created by two intersecting lines; congruent.

complementary angles

two angles with measures that have a sum of 90 degrees.

two angles with measures that have a sum of 90 degrees.

supplementary angles

two angles with measures that have a sum of 180 degrees.

perpendicular lines

2 intersecting lines that make a 90 degree angle.

2 intersecting lines that make a 90 degree angle.

inductive reasoning

reasoning that requires a number of specific examples to arrive at a conclusion.

conjecture

educated guess

counterexample

example that makes the conjecture false

deductive reasoning

process of using logic to draw conclusions from given facts, definitions, rules, laws & properties.

valid

correct

Law of Detachment

(1)If H then C


(2)If H is true


(3)C must be true

Law of Syllogism

(1)If p->q and


(2)q->r are true statements, then


(3)p->r is a true statement.