Card Set Information
definitions up to chapter 2
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.
all points lie on the same line
all points lie on the same plane
Where does a point and a line intersect?
intersect at a point
Where do 2 lines intersect?
Where does a line and a plane intersect?
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)
same size and shape
indicate congruency (shape but not size)
the midpoint of segment AB is the point between A & B where AM=MB
segment, line, or plane that intersects a segment at its midpoint
one a line, 1 point (endpoint) and all points extending off in one direction
figure formed by 2 non-collinear rays having same endpoint
<'s with the same measure
divides an angle into 2 CONGRUENT angles
have a common side and vertex, No overlap or gap.
2 non-adjacent angles formed by intersecting lines
adjacent angles whose non-common sides form opposite rays.
(sum of measures= 180)
2 angles whose sum is 90
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)
using examples to make a conjecture
example proving a conjecture false
sentence which is either T or F (truth value)
opposite of a statement (not...) (~p)
join 2 statements
joined with the word
if hypothesis, then conclusion
switches the hypothesis & conclusion in conditional
negate both hypothesis and conclusion in conditional
Negate and Switch hypothesis and conclusion
OR negate hypothesis and conclusion of the converse
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