# Study sets matching "geo geometry"

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algebraic proof

axiom

compound statement

conclusion

a method to prove statements using properties that justify eac…

any mathematical statement that serves as a starting point fro…

two statements put together and formed into a sentence... example…

The "q or then" in a conditional statement

algebraic proof

a method to prove statements using properties that justify eac…

axiom

any mathematical statement that serves as a starting point fro…

Collinear

Linear Pair

Supplementary angles

Complementary angles

Points that lie on the same line

A pair of adjacent angles whose noncommon sides are opposite r…

Two angles whose sum is 180 degrees

Two angles whose sum is 90 degrees

Collinear

Points that lie on the same line

Linear Pair

A pair of adjacent angles whose noncommon sides are opposite r…

inductive reasoning

conjecture

deductive reasoning

function rule

Reasoning from specific observations to make generalizations.…

A conclusion based on guesswork or insufficient evidence.

Reasoning from a general case that is known to be true to a sp…

An expression that describes the relationship between each inp…

inductive reasoning

Reasoning from specific observations to make generalizations.…

conjecture

A conclusion based on guesswork or insufficient evidence.

conjecture

counterexample

deductive reasoning

inductive reasoning

a statement you believe to be true based on inductive reasoning

a drawing, statement, or number that shows that a conjecture i…

the process of using logic to draw conclusions from given fact…

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

conjecture

a statement you believe to be true based on inductive reasoning

counterexample

a drawing, statement, or number that shows that a conjecture i…

Line

Point

Plane

Space

A "straight" arrangement of an infinite set of points. A strai…

A basic unit of geometry used to represent position or locatio…

A flat, two-dimensional surface that extends infinitely far. H…

The set of all points.

Line

A "straight" arrangement of an infinite set of points. A strai…

Point

A basic unit of geometry used to represent position or locatio…

circumcenter

perpendicular bisector

bisect

centroid

The point of currency of the perpendicular bisectors of the si…

Bisects a segment and is perpendicular to it.

to cut exactly in half

The point of concurrency of the medians of a triangle

circumcenter

The point of currency of the perpendicular bisectors of the si…

perpendicular bisector

Bisects a segment and is perpendicular to it.

Segment Addition Postulate

Definition of a Congruent

Definition of a Bisector

Definition of a Midpoint

If three points A, B, C are collinear and B is between A and C…

Segments or angles that have the same measure (Used when you s…

a line or segment that intersects a segment or angle and divid…

divides the segment into two congruent segments

Segment Addition Postulate

If three points A, B, C are collinear and B is between A and C…

Definition of a Congruent

Segments or angles that have the same measure (Used when you s…

Pythagorean theorem

Pythagorean triple

converse of the Pythagorean theorem

Pythagorean inequalities theorem

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

is a set of three positive integers a, b, and that satisfy the…

if the square of the length of the longest side of a triangle…

for any triangle ABC, where c is the length of the longest sid…

Pythagorean theorem

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

Pythagorean triple

is a set of three positive integers a, b, and that satisfy the…

Point (undefined)

Line (undefined)

Plane (undefined)

collinear points

has location only. No length, no width, no depth. Named using…

Lines extend indefinitely and have no thickness or width. Name…

A flat surface that extends in all directions containing at le…

points that lie on the same line.

Point (undefined)

has location only. No length, no width, no depth. Named using…

Line (undefined)

Lines extend indefinitely and have no thickness or width. Name…

undefined term

point

line

plane

a point, line, or plane because they can only be explained usi…

Location in space, it has no size

A collection of an infinite number of points in a straight pat…

a flat surface that extends forever

undefined term

a point, line, or plane because they can only be explained usi…

point

Location in space, it has no size

Congruent Figures

vertex angle

base angles

corresponding parts of congruent triang…

Geometric figures that have the same size and shape

The angle formed by the legs of an isosceles triangle

The two angles adjacent to the base of an isosceles triangle

A pair of sides or angles that have the same relative position…

Congruent Figures

Geometric figures that have the same size and shape

vertex angle

The angle formed by the legs of an isosceles triangle

Collinear

Plane

Line

Point

points that lie on the same line

a flat surface that has no thickness & extends forever

a straight path that extends forever in opposite directions

a location in a plane. has no size

Collinear

points that lie on the same line

Plane

a flat surface that has no thickness & extends forever

SSS

SAS

ASA

AAS

Three sides of one triangle are congruent to three sides of an…

Two sides and the included angle of one triangle are congruent…

Two angles and the included side of one triangle are congruent…

Two angles and the non-included side of one triangle are congr…

SSS

Three sides of one triangle are congruent to three sides of an…

SAS

Two sides and the included angle of one triangle are congruent…

Plane (Notation: Plane ABCD)

Line

Perpendicular Lines

Parallel Lines

A set of points that extends without end in all directions alo…

A set of points that extends without end in 2 opposite directi…

Two lines that intersect at a 90 degree angle.

Lines that never touch and are on the same plane.

Plane (Notation: Plane ABCD)

A set of points that extends without end in all directions alo…

Line

A set of points that extends without end in 2 opposite directi…

MIDPOINT

SEGMENT

CONGRUENT SEGMENTS

PARALLEL LINES

The point on a segment exactly halfway between the endpoints o…

Part of the line that consists of two endpoints and all points…

Two segments that are the same size and shape.

Coplanar lines that do not intersect

MIDPOINT

The point on a segment exactly halfway between the endpoints o…

SEGMENT

Part of the line that consists of two endpoints and all points…

Line

Collinear points

Coplanar

Segment

A straight, unbroken set of points that goes on forever. It ha…

A set of points that lie on the same line

Points, lines, or segments that lie on the same plane

A part of a line with two endpoints.

Line

A straight, unbroken set of points that goes on forever. It ha…

Collinear points

A set of points that lie on the same line

Vertical Angles

Congruent

Complementary Angles

Supplementary Angles

two nonadjacent angles formed by two intersecting lines. Verti…

to have the same measurement

two angles whose measures add up to 90 degrees

two angles whose two measures add up to 180 degrees

Vertical Angles

two nonadjacent angles formed by two intersecting lines. Verti…

Congruent

to have the same measurement

Parallel Lines

Vertical angles

Supplementary angles

Transversal

Lines that never intersect.

angles formed when two lines intersect that across from one an…

angles whose sum is 180 degrees

a line that intersects 2 or more parallel lines

Parallel Lines

Lines that never intersect.

Vertical angles

angles formed when two lines intersect that across from one an…

Chord

Inscribed Angle

Intercepted Arc

Tangent Line

A line segment on the interior of a circle.

an angle whose vertex is on a circle and whose sides contain c…

The arc that lies in the interior of an inscribed angle and ha…

A line that intersects the circle in exactly one point

Chord

A line segment on the interior of a circle.

Inscribed Angle

an angle whose vertex is on a circle and whose sides contain c…

Line

Collinear points

Coplanar

Segment

A straight, unbroken set of points that goes on forever. It ha…

A set of points that lie on the same line

Points, lines, or segments that lie on the same plane

A part of a line with two endpoints.

Line

A straight, unbroken set of points that goes on forever. It ha…

Collinear points

A set of points that lie on the same line

Bisect

Postulate

Conditional Statement

Converse of Conditional Statement

to divide into two equal parts

something accepted as true without proof; an axiom

if-then statement... a statement that can be written in if-then f…

formed by exchanging the hypothesis and conclusion;

Bisect

to divide into two equal parts

Postulate

something accepted as true without proof; an axiom

Point

Line

Plane

Collinear

A point names a location and has no size. It is represented by…

A line is a straight path that has no thickness and extends fo…

A plane is a flat surface that has no thickness and extends fo…

Points that lie on the same line.

Point

A point names a location and has no size. It is represented by…

Line

A line is a straight path that has no thickness and extends fo…