#### Study sets matching "geometry"

#### Study sets matching "geometry"

Consequent

Antecedent

Null set

Elements in all sets

Another name for a conclusion (THEN pt)

Another name for a hypothesis (IF pt)

When 2 sets of info have nothing in common,what is it called?

What is a union?

Consequent

Another name for a conclusion (THEN pt)

Antecedent

Another name for a hypothesis (IF pt)

Acute angle

Adjacent angles

Angle

Angle bisector

Less than 90 degrees

2 angles with a common vertex and a common side (ray)

Formed by 2 non collinear rays with the same endpoint

a ray (or segment or line) that divides an angle into 2 congr…

Acute angle

Less than 90 degrees

Adjacent angles

2 angles with a common vertex and a common side (ray)

Postulate

Theorem

Postulate 1.1

Postulate 1.4

Accepted statement of fact

Factual statements that have been proven methematically

Through any 2 points there is exactly 1 line

Through any 3 noncollinear points there is exactly 1 plane

Postulate

Accepted statement of fact

Theorem

Factual statements that have been proven methematically

ionic bond

covalent bond

formula unit

molecule

is the complete transfer of valence electron(s) between atoms…

also called a molecular bond, is a chemical bond that involve…

is the empirical formula of any ionic or covalent network sol…

a group of atoms bonded together, representing the smallest f…

ionic bond

is the complete transfer of valence electron(s) between atoms…

covalent bond

also called a molecular bond, is a chemical bond that involve…

right triangle

straight angle

obtuse angle

acute angle

a triangle with one right angle

an angle that measures exactly 180 degrees

an angle > 90 degrees and < 180 degrees

an angle less than 90 degrees

right triangle

a triangle with one right angle

straight angle

an angle that measures exactly 180 degrees

Perpendicular bisector thm

Converse perpendicular bisector thm

Angle bisector thm

Converse angle bisector thm

In a plane, if a point lies on the perpendicular bisectir of…

In a plane, if a point is equidistant from the end points of…

If a point lies on the bisector of an angle, then it is equid…

If a point is equidistant from the two sides of an angle, the…

Perpendicular bisector thm

In a plane, if a point lies on the perpendicular bisectir of…

Converse perpendicular bisector thm

In a plane, if a point is equidistant from the end points of…

fractals

fraction

fracture

fragile

the type of geometry that creates broken patterns out of a sm…

a part of a whole; a broken piece of something that is no lon…

a break in a part of the body

so dedicate that it could break easily; easily damaged

fractals

the type of geometry that creates broken patterns out of a sm…

fraction

a part of a whole; a broken piece of something that is no lon…

Angle of Depression

Angle of Elevation

Component Form

Sine

The angle between the line of sight and the horizontal when a…

The angle between the line of sight and the horizontal when a…

A vector expressed as an ordered pair (change in x, change in…

sin A = opp/hyp or a/c

Angle of Depression

The angle between the line of sight and the horizontal when a…

Angle of Elevation

The angle between the line of sight and the horizontal when a…

What is the Pythagorean theorem?

How can you tell if a triangle is acute?

How can you tell if a triangle is obtu…

How can you tell if a triangle is a ri…

a2 + b2 = c2

C2< a2 + b2

c2> a2 + b2

c2 = a2 + b2

What is the Pythagorean theorem?

a2 + b2 = c2

How can you tell if a triangle is acute?

C2< a2 + b2

Point

Line

Line segment

Ray

An exact location you use a letter to name a point.

A straight path that extends without end in both directions

Has a beginning and an end has 2 endpoints.

Has one endpoint extends forever in one direction.

Point

An exact location you use a letter to name a point.

Line

A straight path that extends without end in both directions

pythagorean theorem

obtuse

acute

right

a^2 + b^2 = c^2

what kind of a triangle is it when c^2 > a^2 + b^2

what kind of a triangle is it when c^2 < a^2 + b^2

what kind of a triangle is it when c^2 = a^2 + b^2

pythagorean theorem

a^2 + b^2 = c^2

obtuse

what kind of a triangle is it when c^2 > a^2 + b^2

Point

Line

Shape

Geometric shape

the simplest and most minimal of the casual elements used in…

the edge or outline of a form; the meeting of points; linear…

has length and width (2D) - A shape may also be actual or imp…

perfect shapes, shapes found in geometry (circles, squares,…

Point

the simplest and most minimal of the casual elements used in…

Line

the edge or outline of a form; the meeting of points; linear…

addition property of equality

subtraction property of equality

multiplication property of equality

substitution property

if PQ = QT, then PQ + RS = PQ + RS

JK + KL = MN + KL, THEN JK = MN

IF 1/2XZ = XY, THEN XZ =2XY

VW + WY = ZY, AND VW + WY = XZ, THEN XZ=ZY

addition property of equality

if PQ = QT, then PQ + RS = PQ + RS

subtraction property of equality

JK + KL = MN + KL, THEN JK = MN

midsegment of triangle

circumcenter of triangle

orthocenter of triangle

centroid of triangle

a segment that joins the midpoints of two sides of the triangle

point of concurrency of the three perpendicular bisectors of…

the point of concurrency of the three altitudes of a triangle

the point of concurrency of the three medians of a triangle.…

midsegment of triangle

a segment that joins the midpoints of two sides of the triangle

circumcenter of triangle

point of concurrency of the three perpendicular bisectors of…

Parallelogram

Rhombus

Rectangle

Square

A quadrilateral with opposite sides parallel

A quadrilateral with 4 sides congruent

A parallelogram with one right angle (4 right angles)

A parallelogram with 4 sides congruent and 4 angles congruent

Parallelogram

A quadrilateral with opposite sides parallel

Rhombus

A quadrilateral with 4 sides congruent

Perpendicular Bisector

Equidistant

Distance From a Point to a Line

Perpendicular Bisector of a Triangle

A line, segment, ray, or a plane that is perpendicular to the…

Where a point is the same distance from two distinct lines.

The length of the perpendicular segment from the point to the…

A line (segment, ray or plane) that is perpendicular to a sid…

Perpendicular Bisector

A line, segment, ray, or a plane that is perpendicular to the…

Equidistant

Where a point is the same distance from two distinct lines.

tangent line

intercepted arc

tangent circles

internally tangent

touches the circle at exactly one point perpendicularly

an arc that lies in the interior of angle with endpoints on t…

circles that are tangent to the same line at the same point

circles whose tangent line is inside circle

tangent line

touches the circle at exactly one point perpendicularly

intercepted arc

an arc that lies in the interior of angle with endpoints on t…

Net

Isometric drawing

Orthographic drawing

Angle Bisector

The combination of all forces acting on an object

A form of pictorial drawing in which all three drawing axes f…

Another way to show a 3-dimensional figure. It shows a top vi…

a ray that divides an angle into two congruent angles

Net

The combination of all forces acting on an object

Isometric drawing

A form of pictorial drawing in which all three drawing axes f…

tangent line

intercepted arc

tangent circles

internally tangent

touches the circle at exactly one point perpendicularly

an arc that lies in the interior of angle with endpoints on t…

circles that are tangent to the same line at the same point

circles whose tangent line is inside circle

tangent line

touches the circle at exactly one point perpendicularly

intercepted arc

an arc that lies in the interior of angle with endpoints on t…

Contour line

Surveying

Global Positioning System

Digitizing

a line that connects points of equal elevations

gathering data for maps using instruments and geometry

uses satellite signals to locate a radio receiver on Earth

converting information to numbers for use by a computer

Contour line

a line that connects points of equal elevations

Surveying

gathering data for maps using instruments and geometry

Inductive reasoning

Conjecture

Counterexample

Negation

Reasoning that uses a number of specific examples to arrive a…

A concluding statement reached using inductive reasoning

A false example that shows a conjecture is not true

The opposite meaning of a statement

Inductive reasoning

Reasoning that uses a number of specific examples to arrive a…

Conjecture

A concluding statement reached using inductive reasoning

Adjacent Angles

Circumference

Complementary Angles

Congruent

Angles that are beside each other

the distance around a cirlce

Angles that make a right angle and add up to 90

EVERYTHING is the same size and same shape

Adjacent Angles

Angles that are beside each other

Circumference

the distance around a cirlce

Segment

Endpoint

Opposite Rays

Plane

is the part of a line consisting of 2 points and all points b…

A point at either end of a line segment, or a point at one en…

two rays that have a common endpoint and form a line

a flat surface that has no thickness and extends forever.

Segment

is the part of a line consisting of 2 points and all points b…

Endpoint

A point at either end of a line segment, or a point at one en…

Center of a circle

Central angle

Chord of a circle

Circle

Point of equidistant from all points on the circle

Angle whose vertex is the center of the and whose sides are r…

Line segment that joins two points on the circle

Set of all points equidistant from a given point called the c…

Center of a circle

Point of equidistant from all points on the circle

Central angle

Angle whose vertex is the center of the and whose sides are r…

Complementry

Supplementry

Adjacent

Linear Pair

Two angles whose sum adds up to 90*

Two angles whose sum adds up to 180*

Two angles who share a vertex and sides

Two adjacent supplementary angles **Two angles that form a li…

Complementry

Two angles whose sum adds up to 90*

Supplementry

Two angles whose sum adds up to 180*

vertical angles

supplementary angles

complementary angles

adjacent angles

intersecting lines are congruent

two angles whose measures add up to 180 degrees

two angles whose measures add up to 360 degrees

two angles that are next to each other and share a same side

vertical angles

intersecting lines are congruent

supplementary angles

two angles whose measures add up to 180 degrees

Adjacent Angle

Complementary Angle

Congruent

Cross-section

Angles that are beside each other.

Angles that make a right angle and add up to 90 degrees.

EVERYTHING is the same size and shape.

The flat 2-D shape you get when cutting straight through a 3-…

Adjacent Angle

Angles that are beside each other.

Complementary Angle

Angles that make a right angle and add up to 90 degrees.

Angle Bisector

Perpendicular bisector

concurrent lines

point of concurrency

a ray that divides an angle into 2 congruent parts

a segment, ray, or line that is perpendicular to a segment an…

3 or more lines that pass through a common point

common point of 3 or more lines

Angle Bisector

a ray that divides an angle into 2 congruent parts

Perpendicular bisector

a segment, ray, or line that is perpendicular to a segment an…

Adjacent Angle

Circumference

Complimentary Angle

Congruent

Angles that are beside each other.

The distance around a circle.

Angles that make a right angle and add up to 90.

EVERYTHING is the same size and same shape.

Adjacent Angle

Angles that are beside each other.

Circumference

The distance around a circle.

CPCTC

ASA postulate

SAS postulate

SSS postulate

corresponding parts of congruent triangles are congruent

if two angles and the included side of one triangle are congr…

if two sides and the included angle of one triangle are congr…

if three sides of one triangle are congruent to three sides o…

CPCTC

corresponding parts of congruent triangles are congruent

ASA postulate

if two angles and the included side of one triangle are congr…

Adjacent Angles

Pythagorean Theorem

SAS Triangle Congruence

HL Right Triangle Congruence

Angles that have a common side and a common vertex (corner po…

in a right triangle the square of the length of the hypotenus…

Side-Angle-Side Congruence Property: If two sides and the ang…

...

Adjacent Angles

Angles that have a common side and a common vertex (corner po…

Pythagorean Theorem

in a right triangle the square of the length of the hypotenus…

Midsegment of a triangle

Triangle mid segment thrm

Perpendicular bisector

Angle bisector

A segment connecting midpoints of two sides of a triangle

If a segment joins the midpoints of two sides of a triangle,…

A line, segment, or ray that is perpendicular to a segment at…

A ray that divides an angle into two congruent angles

Midsegment of a triangle

A segment connecting midpoints of two sides of a triangle

Triangle mid segment thrm

If a segment joins the midpoints of two sides of a triangle,…

Altitude

Orthocenter

Median

Centroid

A perpendicular segment from a vertex to the line containing…

The concurrency point of the lines containing the altitudes o…

A segment that has as its endpoints a vertex of the triangle…

The concurrency point of the medians of that triangle

Altitude

A perpendicular segment from a vertex to the line containing…

Orthocenter

The concurrency point of the lines containing the altitudes o…

Point

Line

Plane

Collinear

A location with no size or shape.

Made up of points with no thickness or width; Extends indefin…

A flat surface made up of points that extends indefinitely in…

Points that lie on the same line.

Point

A location with no size or shape.

Line

Made up of points with no thickness or width; Extends indefin…

Median of a Triangle

Angle bisector of a Triangle

Perpendicular bisector of a Triangle

Altitude of a Triangle

A segment that has its endpoints a vertex of the triangle and…

A ray that divides an angle into congruent angles

A line segment or ray that is perpendicular to the segment at…

A line which passes through a vertex of a Triangle, and meets…

Median of a Triangle

A segment that has its endpoints a vertex of the triangle and…

Angle bisector of a Triangle

A ray that divides an angle into congruent angles

Diocletian

Constantine

The Huns

The Visigoths

divided empire into two parts, east and west

-issued the Edict of Milan which grants tolerance to Christia…

-migrated from Central Asia... -led by the feared Attila, they r…

-powerful Germanic tribe... rebelled against Romans... -led by Alar…

Diocletian

divided empire into two parts, east and west

Constantine

-issued the Edict of Milan which grants tolerance to Christia…