# geometry

##### SETS

acute angle

right angle

obtuse angle

adjacent angles

an angle that measures less than 90 degrees

an angle that measures 90 degrees

An angle that measures more than 90 degrees but less than 180…

Two angles that share a common side and have the same vertex

acute angle

an angle that measures less than 90 degrees

right angle

an angle that measures 90 degrees

Collinear

Linear Pair

Supplementary angles

Vertical 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

A pair of opposite congruent angles formed by intersecting lin…

Collinear

Points that lie on the same line

Linear Pair

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

parallel lines

vertically opposite angles

perpendicular lines

revolution

two straight lines that are the same perpendicular distance ap…

non-adjacent opposite angles formed by tow or more intersectin…

two straight lines that form a 90 degree angle when they meet…

the sum of all angles around a point

parallel lines

two straight lines that are the same perpendicular distance ap…

vertically opposite angles

non-adjacent opposite angles formed by tow or more intersectin…

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…

Geometry

Euclidean Geometry

Undefined terms

Point

word composed of two Greek terms, "geos" meaning earth and "me…

identifies a geometry which Euclid formalized and which was ad…

terms in Euclidean geometry which mathematicians consider only…

one of the undefined terms; it has only position and has no le…

Geometry

word composed of two Greek terms, "geos" meaning earth and "me…

Euclidean Geometry

identifies a geometry which Euclid formalized and which was ad…

point

line

segment

curve line

an exact position or location (place) on a plane surface. ... It…

A long thin mark made by a pen, pencil, etc. ... In geometry a li…

A closed line segment includes both endpoints

In mathematics, a curve (also called a curved line in older te…

point

an exact position or location (place) on a plane surface. ... It…

line

A long thin mark made by a pen, pencil, etc. ... In geometry a li…

acute angle

right angle

obtuse angle

adjacent angles

an angle that measures less than 90 degrees

an angle that measures 90 degrees

An angle that measures more than 90 degrees but less than 180…

Two angles that share a common side and have the same vertex

acute angle

an angle that measures less than 90 degrees

right angle

an angle that measures 90 degrees

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…

Midpoint

Congruent

Segment Bisector

Angle

The point halfway between the endpoints of the segment.

Two figures are congruent if and only if there exists one, or…

Any segment, line or plane that intersects a segment at it's m…

Formed by two non-collinear rays that have a common endpoint

Midpoint

The point halfway between the endpoints of the segment.

Congruent

Two figures are congruent if and only if there exists one, or…

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…

Collinear

Linear Pair

Supplementary angles

Vertical 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

A pair of opposite congruent angles formed by intersecting lin…

Collinear

Points that lie on the same line

Linear Pair

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

Boundry

Point

Ray

Line segment

a border, or the outside edge, of a place, such as a city, sta…

An exact spot

A part of a line, with one endpoint, that continues without en…

A part of a line between two endpoints.

Boundry

a border, or the outside edge, of a place, such as a city, sta…

Point

An exact spot

acute angle

adjacent angle

angle

angle bisector

an angle that measures less than 90 degrees

2 angles that have the same vertex and a common side but no in…

formed by two rays with the same endpoint

a ray that divides an angle into two congruent angles

acute angle

an angle that measures less than 90 degrees

adjacent angle

2 angles that have the same vertex and a common side but no in…

Complimentary Angles

Supplementary Angles

Adjacent Angles

Ray

Two adjacent angles that equal 90 degrees.

Two adjacent angles that equal 180 degrees.

Angles that are next to each other.

One end has an endpoint and the other goes on infinitely

Complimentary Angles

Two adjacent angles that equal 90 degrees.

Supplementary Angles

Two adjacent angles that equal 180 degrees.

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…

Area

Perimeter

Area vs perimeter

Trapezoid

Area is the number of square units enclosed by the two dimensi…

Perimeter is the distance around the outside of a 2D shape.

Area is the number of square units enclosed by the 2D shape.... P…

Two dimensional shape with four sides and one pair of parallel…

Area

Area is the number of square units enclosed by the two dimensi…

Perimeter

Perimeter is the distance around the outside of a 2D shape.

Collinear

Linear Pair

Supplementary angles

Vertical 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

A pair of opposite congruent angles formed by intersecting lin…

Collinear

Points that lie on the same line

Linear Pair

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