-
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 non-collinear 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 non-adjacent angles formed by intersecting lines
-
linear pair
- adjacent angles whose non-common 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
|
|
