Geometry Definitions
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How do you name a line?
single lower case letter OR two points contained on the line

How do you name a plane?
capital letter OR 3 noncollinear points

How do you name a segment?
the two endpoints

How do define a point, line and plane?
They are UNDEFINED.

Collinear Points
all points lie on the same line

Coplanar
all points lie on the same plane

Where does a point and a line intersect?
intersect at a point

Where do 2 lines intersect?
one point

Where does a line and a plane intersect?
it depends.
 poked through = one point
 whole line = infinite amount of points

Where do two planes intersect?
At a line

What is a space?
the set of all points


AB^___ (with line over top)
a segment

Congruent
same size and shape

Tick Marks
indicate congruency (shape but not size)

Midpoint
the midpoint of segment AB is the point between A & B where AM=MB

segment bisector
segment, line, or plane that intersects a segment at its midpoint

ray
one a line, 1 point (endpoint) and all points extending off in one direction

angle
figure formed by 2 noncollinear rays having same endpoint

congruent angles
<'s with the same measure

Angle bisector
divides an angle into 2 CONGRUENT angles

adjacent angles
have a common side and vertex, No overlap or gap.

vertical angles
2 nonadjacent angles formed by intersecting lines

linear pair
 adjacent angles whose noncommon sides form opposite rays.
 (sum of measures= 180)

complementary angles
2 angles whose sum is 90

supplementary angles
2 angles whose sum is 180

perpendicular lines (upside down T)
 intersect to form right angles
 form adjacent angles
 (rays,segments or planes can be perpendicular)

inductive reasoning
using examples to make a conjecture

counterexample
example proving a conjecture false

statement
sentence which is either T or F (truth value)

negation
opposite of a statement (not...) (~p)

compound statement
join 2 statements

conjunction
joined with the word AND
T=both true

disjunction
joined with OR
T=at least one true

venn diagrams
conjuctions are intersections (overlap)
disjunctions are unions (whole thing)

If______, then_______
if hypothesis, then conclusion

converse
switches the hypothesis & conclusion in conditional

Inverse
negate both hypothesis and conclusion in conditional

Contrapositve
Negate and Switch hypothesis and conclusion
OR negate hypothesis and conclusion of the converse

deductive reasoning
using rules to make a conclusion

Law of Detachment
if conditional is true and hypothesis is true, then conclusion is true

Law of Syllogism
if p> q and q>r are true, then p>r is true.

if mp definition, then....
=

if mp theorem, then...q
CONGRUENT