# Study sets matching "geo geometry"

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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

Conditional (p = hypothesis, q = conclu…

Converse of conditional

Bioconditional

Law of Detachment

If p, then q... symbolic form p -> q

If q, then p... symbolic form q ->p

p if and only if q... symbolic form p <-->q

Given a true conditional p -> q: If p (hypothesis) is true, th…

Conditional (p = hypothesis, q = conclu…

If p, then q... symbolic form p -> q

Converse of conditional

If q, then p... symbolic form q ->p

perpendicular lines

concurrent lines

point of concurrency

circumcenter

Lines that meet at right angles

3 or more lines that meat in a common point

the point where concurrent lines meet

the point of concurrency of 3 perpendicular bisectors

perpendicular lines

Lines that meet at right angles

concurrent lines

3 or more lines that meat in a common point

Radius

Diameter

Chord

circumference

Any straight line from the center of a circle to its circumfer…

the distance measured from one point on a circle to another go…

Any straight line linking two points on a circle`s circumferen…

The total length of the outside edge (perimeter) of a circle.

Radius

Any straight line from the center of a circle to its circumfer…

Diameter

the distance measured from one point on a circle to another go…

Complementary Angles

Supplementary Angles

Theorem

Vertical Angles

Two angles whose sum = 90

Two angles whose measure have a sum of 180

A statement that can be proven

Two angles formed by intersecting lines and facing the opposit…

Complementary Angles

Two angles whose sum = 90

Supplementary Angles

Two angles whose measure have a sum of 180

Geometry

Point

Line

Plane

The study of shapes and their spatial properties.

An exact location in space. (Point A)

Infinitely many points that extend in both directions forever.

A surface with length and width but no thickness, extending in…

Geometry

The study of shapes and their spatial properties.

Point

An exact location in space. (Point A)

Point

Line

Plane

Collinear Points

indicates a location, has no size

a straight path that extends in two opposite directions withou…

flat surface that extends without end and has no thickness

Points on the same line

Point

indicates a location, has no size

Line

a straight path that extends in two opposite directions withou…

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

Transversal

Spherical Geometry

Slope-Intercept Form

Slope

A line that intersects two or more other lines at different po…

The branch of geometry that deals with a system of points, gre…

A linear equation of the form y=mx+b. The graph of such an equ…

For a (nonvertical) line containing two points (x1,y1) and (x2…

Transversal

A line that intersects two or more other lines at different po…

Spherical Geometry

The branch of geometry that deals with a system of points, gre…

polyhedron

face

edge

vertex

a solid figure bounded by plane polygons or faces

A flat surface of the polyhedron

a line segment formed by the intersection of two faces

A point where three or more edges meet

polyhedron

a solid figure bounded by plane polygons or faces

face

A flat surface of the polyhedron

ratio

proportion

similar

scale factor

The ____ of one number to another is the quotient when the fir…

A _____ is an equation stating that two ratios are equal. (ex.…

Two polygons are ____ if their vertices can be paired so that:…

If two polygons are similar, then the ratio of the lengths of…

ratio

The ____ of one number to another is the quotient when the fir…

proportion

A _____ is an equation stating that two ratios are equal. (ex.…

Polygons

Regular Polygons

Diagonals

Vertex

A plane figure with at least three straight sides.

A regular polygon has all sides congruent and all angles congr…

Segments that connects any 2 nonconsecutive vertices of a poly…

Each angular point of a polygon, polyhedron, or other figure.

Polygons

A plane figure with at least three straight sides.

Regular Polygons

A regular polygon has all sides congruent and all angles congr…

Radius

Diameter

Chord

Secant

Distance from the center of a circle to a point on the circle.

A chord the goes through the center of a circle. (segment from…

Segment from one side of the circle to the other. Doesn't need…

A line going through a circle.

Radius

Distance from the center of a circle to a point on the circle.

Diameter

A chord the goes through the center of a circle. (segment from…

Through any two points there is exactly…

If two distinct lines intersect, then t…

If two distinct planes intersect, then…

Through any three _______________ point…

one line

one point

one plane

noncollinear

Through any two points there is exactly…

one line

If two distinct lines intersect, then t…

one point

Two-Column Proof (Formal Proof)

Postulate/Axiom

Conditional Statement

Proof

A type of proof written in columns.

A statement that describes a fundamental relationship between…

An "if, then" statement.

A logical argument in which each statement you provide is supp…

Two-Column Proof (Formal Proof)

A type of proof written in columns.

Postulate/Axiom

A statement that describes a fundamental relationship between…

acute angle

adjacent angles

angle

angle bisector

angle that measures greater than 0º and less than 90º

two angles that share a common vertex and a common side (ray),…

a figure formed by two rays, or sides, with a common endpoint

a ray that divides an angle into two congruent angles

acute angle

angle that measures greater than 0º and less than 90º

adjacent angles

two angles that share a common vertex and a common side (ray),…

noncollinear

coplanar

noncoplanar

bisector

Points that do not lie on the same line

points that lie on the same plane

points not in the same plane

Something that cuts an object into two equal parts

noncollinear

Points that do not lie on the same line

coplanar

points that lie on the same plane

Triangle Sum Theorem

Triangle Sum Theorem Corollary 1

Triangle Sum Theorem Corollary 2

Exterior Angle Theorem

The sum of the angle measures of a triangle is 180 degrees.

The acute angles of a right triangle are complementary.

The angles of an equiangular triangle is 60 degrees.

The measure of an exterior angle of a triangle is equal to add…

Triangle Sum Theorem

The sum of the angle measures of a triangle is 180 degrees.

Triangle Sum Theorem Corollary 1

The acute angles of a right triangle are complementary.

Point

Line

Line Segment

Ray

Has no dimension. It is usually represented by a small dot.

Extends in one dimension. It is usually represented by a strai…

Is part of a line that consists of two points, called endpoint…

Is part of a line that consists of a point, called an initial…

Point

Has no dimension. It is usually represented by a small dot.

Line

Extends in one dimension. It is usually represented by a strai…