# 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…

Definition of line perpendicular to pla…

Lemma

Corollary 6-2.1

The basic theorem on perpendiculars

A line and a plane are perpend if they intersect and if every…

If B and C are equidistant from P and Q , Then every point bet…

Given segment AB and a line L in the same plane. If two points…

If a line is perpendicular to each of two intersecting lines a…

Definition of line perpendicular to pla…

A line and a plane are perpend if they intersect and if every…

Lemma

If B and C are equidistant from P and Q , Then every point bet…

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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

segment

endpoint

ray

opposite rays

part of a line consisting of two points and all points between…

a point at one end of a segment or the starting point of a ray

a part of a line that starts at an endpoint and extends foreve…

two rays that have a common endpoint and form a line

segment

part of a line consisting of two points and all points between…

endpoint

a point at one end of a segment or the starting point of a ray

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

deductive reasoning

inductive reasoning

definition of ~= triangle's

CPCTC (meaning)

conclusions based on accepted facts

conclusions based on several past observations

two triangles are congruent iff their verticals can be matched…

Corresponding Parts of Congruent Triangle are Congruent

deductive reasoning

conclusions based on accepted facts

inductive reasoning

conclusions based on several past observations

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°

linear pair theorem

congruent supplements theorem

right angle congruence theorem

congruent complements theorem

if two angles form a linear pair, then they are supplementary

if two angles are supplementary to the same angle /congruent a…

all right angles are congruent

if two angles are complementary to the same angle/ congruent a…

linear pair theorem

if two angles form a linear pair, then they are supplementary

congruent supplements theorem

if two angles are supplementary to the same angle /congruent a…

Theorem 56 (Perpendicular Chord)

Theorem 57 (Converse to Theorem 56)

Theorem 58

Theorem 59

If a line through the center of a circle is perpendicular to a…

If a line through the center of a circle bisects a chord that…

The perpendicular bisector of a chord of a circle contains the…

If a line is tangent to a circle, it's perpendicular to radius…

Theorem 56 (Perpendicular Chord)

If a line through the center of a circle is perpendicular to a…

Theorem 57 (Converse to Theorem 56)

If a line through the center of a circle bisects a chord that…

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…

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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…