# geometry

##### SETS

Segment Addition Postulate

Midpoint

Segment Bisector

Angle Additon Postulate

if three points A, B, and C are collinear (on the same line) a…

A point that divides the segment into two congruent (pieces th…

a point, line, ray or other segment that intersects a segment…

If point B is in the interior of <AOC then m<AOB+m<BOC=m<AOC

Segment Addition Postulate

if three points A, B, and C are collinear (on the same line) a…

Midpoint

A point that divides the segment into two congruent (pieces th…

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…

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…

Ordered Pair

X-Coordinate

Y-Coordinate

Quadrant

Points on the coordinate plane (x,y)

The first number in an ordered pair that correspongs to a numb…

The second number in an ordered pair that corresponds to a num…

The four regions of the coordinate plane created by the x-axis…

Ordered Pair

Points on the coordinate plane (x,y)

X-Coordinate

The first number in an ordered pair that correspongs to a numb…

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…

circumcenter

perpendicular bisector

bisect

centroid

where all the perpendicular bisectors of a triangle intersect

Bisects a segment and is perpendicular to it.

to cut exactly in half

The point of concurrency of the medians of a triangle

circumcenter

where all the perpendicular bisectors of a triangle intersect

perpendicular bisector

Bisects a segment and is perpendicular to it.

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…

Colinear points

Adjacent angles

Congruent angles or sides

Supplementary angles

Points that lie on the same line

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

Angles or line segments that have the same measure

Angles whose measure adds up to 180 degrees.

Colinear points

Points that lie on the same line

Adjacent angles

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

point

ray

Line Segment

Line

How to NAME it: with a capital letter. Definition: A point spe…

How to NAME it: Named using the endpoint... and one other point,…

How to NAME it: Named using the two... endpoints, in any order,... w…

How to NAME it: Named using any two... points on the line, in any…

point

How to NAME it: with a capital letter. Definition: A point spe…

ray

How to NAME it: Named using the endpoint... and one other point,…

Geometry

Point

Line

Plane

The term for the study of points, lines, angles, surfaces, and…

Geometric figure with no dimension.

Geometric figure with one dimension.

Geometric figure with two dimensions.

Geometry

The term for the study of points, lines, angles, surfaces, and…

Point

Geometric figure with no dimension.

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…

Perpendicular Lines

Pythagorean Theorem

Parallel Lines

Transversal

Lines that intersect to form right angles which equal 90 degre…

a²+b²=c²

lines in the same plane that never intersect

know corresponding are congruent and vertical are congruent, s…

Perpendicular Lines

Lines that intersect to form right angles which equal 90 degre…

Pythagorean Theorem

a²+b²=c²

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…

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…