# Study sets matching "geomerty definitions"

Study sets

Diagrams

Classes

Users

biconditional

conditional

hypothesis

conclusion

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

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

the part p following if

the part q following then

biconditional

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

conditional

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

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

Conditional

Truth value

Reason based on observed patterns

An unproven conclusion based on inductive reasoning

If, then statement

If a conditional is true or false

Inductive reasoning

Reason based on observed patterns

Conjecture

An unproven conclusion based on inductive reasoning

Line

Line Segment

Ray

Opposite Ray

This has no beginning point or endpoint. It continues forever…

When two endpoints are connected with a straight line.

A part of a line that has exactly one endpoint.

A ray that goes in an opposite direction from a vertex.

Line

This has no beginning point or endpoint. It continues forever…

Line Segment

When two endpoints are connected with a straight line.

Circle

Radius (plural - radii)

Diameter

Chord

The set of all points equidistant from the center... All circles…

The distance from the center of a circle to the edge of the ci…

A segment that contains the center of the circle and whose end…

A segment whose endpoints are on the circle.... A diameter is the…

Circle

The set of all points equidistant from the center... All circles…

Radius (plural - radii)

The distance from the center of a circle to the edge of the ci…

Corresponding Angles Postulate

Linear Pair Postulate

Parallel Postulate

Perpendicular Postulate

m<1=m<5... m<2=m<6... m<3=m<7... m<4=m<8

m<a + m<b = 180°

Line and a point not on the line, then there is exactly one li…

Line and a point not on the line, then there is exactly one li…

Corresponding Angles Postulate

m<1=m<5... m<2=m<6... m<3=m<7... m<4=m<8

Linear Pair Postulate

m<a + m<b = 180°

Angle Addition Postulate

Definition of Complementary

Definition of Supplementary

Supplement Theorem

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

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 + angle…

Definition of Complementary

2 angles which sum up to 90 degrees

Inductive Reasoning

Conjecture

Counterexample

Conditional

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

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

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 beca…

Conjecture

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

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 se…

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 se…

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 d…

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

Point

Line

Plane

Collinear

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

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

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, depth…

Line

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

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 d…

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

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

Rene Descartes

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

Nicolaus Copernicus

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