math

line segment

line segment

part of a line with two endpoints

postulates

basic rule of geometry.

distance

the length between two objects

ordered pair

(x,y)

line

a grouping of points that create a straight, never ending figure.

space

a collection of planes to create a full three-dimensions

ruler postulate

the distance between two points will be the absolute value of the difference between numbers shown on a ruler

planes

a grouping of lines that are pulled together to create a flat never ending space.

coplanar

two objects with in the same plane. These objects can be lines or any other two dimensional. objects

collinear

two points that lie on the same point

segment addition postulate

if A,B and C are collinear and B is between A than AB+BC=AC

ray

part of a line with one endpoint and extends forever in the other direction. When naming a ray always start with end point

measure

to determine how far apart two geometric objects are

noncollinear

two points that are not on the same line

point

an exact location in space. They will always be labeled with a capital letter

intersection

a point or set of points where lines planes, segments, or rays cross each other

theorem

a statement that can be proven true using postulates definitions and other theorems that have already been proven

angle

when two rays have the same endpoint

vertex

the common endpoint of two rays that form an angle

sides

the two rays that form an angle

degrees

a unit of measurement for angles

opposite rays

two rays that move in exactly opposite direction come together to form a line

straight angle

when measures 180 the angle measures a straight line

right angle

when an angle measure 90

acute angle

angles that measures between 0 and 90

obtuse angle

an angle between 90 and 180 degrees

perpendicular

when two lines intersect to form four right angles

angle addition postulate

if B is on the same interior of angle ADC then m<ADC=m<ADB+<BDC

angle bisector

a segment or plane that divided an angle into two congruent parts and goes through the vertex

congruent

when two geometric figures have the same shape and size

midpoint

a point on a line segment that divides it into two congruent objects

midpoint Postulate

any line segment will have exactly one midpoint

segment bisector

a line, segment, or ray that passes through a midpoint of another segment

Perpendicular bisector

a line, ray or segment that passed through the midpoint of another segment and intersects the segment at a right angle

proof

a logical argument in which each statement you make is backed by a statement that is already accepted as true

complementary angles

when two angles add up to 90

Supplementary angles

two angles added up to 180

adjacent angles

two angles that have the same vertex, share a side and don’t overlap

linear pair

two angles that are adjacent and whose non-common sides form a straight line (supplementary angles)

vertical angles

two non-adjacent angles formed by intersecting lines

vertical angles theorem

if two angles are vertical angles then they are congruent