#### Study sets matching "geomerty definitions"

#### Study sets matching "geomerty definitions"

point

line

ray

plane

a dot that represents an important spot on the line.

a line that goes on forever without ending

a line that goes in only one direction for ever

a line that goes through three points

point

a dot that represents an important spot on the line.

line

a line that goes on forever without ending

biconditional

conditional

hypothesis

conclusion

is a single true statement that combines a true conditional a…

is an if-then statement / use the given hypothesis and its co…

the part p following if

the part q following then

biconditional

is a single true statement that combines a true conditional a…

conditional

is an if-then statement / use the given hypothesis and its co…

Two-Column Proof

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

a proof that lists numbered statements on the left, and corre…

If a = b, then a + c = b + c

If a = b, then a - c = b - c

if a=b, then ca=cb

Two-Column Proof

a proof that lists numbered statements on the left, and corre…

Addition Property of Equality

If a = b, then a + c = b + c

Hypothesis

Conclusion

Negation

Converse

"If" part of the conditional;given fact

"Then" part of a conditional; what to prove or show

Negative, not

Statement that reverses hypothesis and conclusion

Hypothesis

"If" part of the conditional;given fact

Conclusion

"Then" part of a conditional; what to prove or show

inductive reasoning

conjecture

counter example

conditional

reasoning that is based on patters that you observe.

a conclusion that is reached through inductive reasoning.

any example for which the conjecture is incorrect.

another name for an if then statement.

inductive reasoning

reasoning that is based on patters that you observe.

conjecture

a conclusion that is reached through inductive reasoning.

1.1 definition of a line postulate

1.2 two lines intersect postulate

1.3 distinct planes postulate

1.4 nonlinear points postulate

through any two points there is exactly one line.

if two distinct lines intersect, then they intersect in exact…

if two distinct planes intersect, then they intersect in exac…

through any three col linear points there is exactly one plane

1.1 definition of a line postulate

through any two points there is exactly one line.

1.2 two lines intersect postulate

if two distinct lines intersect, then they intersect in exact…

Angle Addition Postulate

Definition of Complementary

Definition of Supplementary

Supplement Theorem

If R is in the interior of angles PQS, then angles PQR + angl…

2 angles which sum up to 90 degrees

2 angles which sum up to 180 degrees

If 2 angles form a linear pair, then they are supplementary

Angle Addition Postulate

If R is in the interior of angles PQS, then angles PQR + angl…

Definition of Complementary

2 angles which sum up to 90 degrees

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

MEASURE OF AN ANGLE

MIDPOINT

NET

OBTUSE ANGLE

The number of degree(s) between two rays of an angle

The point that is halfway between the endpoints of the line s…

A pattern you can fold to form a three dimensional figure

An angle that measures more than 90 degrees and less than 180…

MEASURE OF AN ANGLE

The number of degree(s) between two rays of an angle

MIDPOINT

The point that is halfway between the endpoints of the line s…

Inductive Reasoning

Conjecture

Counterexample

Conditional

the process of reasoning that a rule or statement is true bec…

a statement that you believe to be true based on inductive re…

how you show that a conjecture is false; drawing or written

statement written in an if-then statement

Inductive Reasoning

the process of reasoning that a rule or statement is true bec…

Conjecture

a statement that you believe to be true based on inductive re…

polygon

vertex (vertices)

acute angle

angle

This is a two dimensional shape. It must be made up of only s…

This is a corner. It can be a corner in a two dimension polyg…

This is an angle that is less than 90 degrees. It is a narrow…

When two line segments meet at a common point, they form one…

polygon

This is a two dimensional shape. It must be made up of only s…

vertex (vertices)

This is a corner. It can be a corner in a two dimension polyg…

Theorems

Postulates

Inductive Reasoning

Definitions

Statements that must be proved to be true

Statements that are accepted true without proof

Reasoning that uses laws of logic to prove theorems

Concepts (terms) that are clearly explained

Theorems

Statements that must be proved to be true

Postulates

Statements that are accepted true without proof

2 major models to store spatial data

What GIS stands for

Characteristics of spatial analysis

Discrete Data

Vector & Raster

Geographic Information System

Representational data models, dual nature, 3D earth, spatial…

dimensionality and scale: points lines and areas (vector data)

2 major models to store spatial data

Vector & Raster

What GIS stands for

Geographic Information System

building blocks of geomerty

inductive reasoning

deductive reasoning

how to find the Nth term in a sequence

points, lines, planes

see a pattern and make a rule

use definitions and agreed facts to prove a new fact

...

building blocks of geomerty

points, lines, planes

inductive reasoning

see a pattern and make a rule

Rene Descartes

Nicolaus Copernicus

Tycho Brahe

Johannes Kepler

French Philosopher.... Emphasized the important of reasoning in…

Polish mathematician and astronomer.... Played a major role in…

Danish Astronomer.... Built an observatory to study the stars a…

German astronomer and mathematician.... Using Brahe's observati…

Rene Descartes

French Philosopher.... Emphasized the important of reasoning in…

Nicolaus Copernicus

Polish mathematician and astronomer.... Played a major role in…

Point

Line

Plane

Collinear

basic building block of Geomerty it does not have witdh, dept…

created by two points but made up of an infinite amount of po…

has length and width. Created by 3 non-collinear points.

3 or more points on the same line

Point

basic building block of Geomerty it does not have witdh, dept…

Line

created by two points but made up of an infinite amount of po…