44 terms

Geometry Chapter 1 Flashcards

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acute angle
angle whose measure is less than 90 degrees and more than 0 degrees
angle
two rays with a common endpoint
bisect, bisector
a point that divides a segment into two congruent sections is this
chain rule
if p then q and if q then r, then if p then r
collinear
points that lie on the same line are collinear
conclusion
output
conditional statement
if p then q when p and q are declarative statements
congruent angles
angles that have the same measure
congruent segments
segments that have the same length
contrapositive
if not q then not p
converse
if q then p
deductive structure
a system of thought in which conclusions are justified by means of previously assumed or proved statements
definition
states the meaning of the term or idea
endpoint
a segment is named in terms of this
hypothesis
the "if" part of the sentence (If p, then q)
implication
conditional statement (If p, then q)
intersection
(n) this of any two sides is a vertex of the triangle
inverse
if not p, then not q
line
line segment
made up of points, straight, has a definite beginning and end
measure
size
midpoint
bisection point
minute
degree is divided into 60 of these (') which are divided into 60 seconds (")
negation
ex. p then not p
noncollinear
points that do not lie on the same line is this
number line
formed when a numerical value is assigned to each point on a line
obtuse angle
angle whose measure is more than 90 degrees and less than 180 degrees
point
an amount of space, represented by dots
postulate
assuptions, one of the four elements of the deductive structure
probability
number of winners/number of possibilities
protractor
used to measure angles
ray
made up of points, straight, begins at an endpoint and then extends infinitely far in only one direction
right angle
angle whose measure is 90 degrees
second
60 of these make up a minute
straight angle
angle whose measure is 180 degrees, forms a straight line
theorem
mathematical statement that can be proved
tick mark
indicate congruent angles and segments
triangle
has three segments as its sides/ three angles
trisect, trisectors
two rays that divide an angle into three congruent parts
trisection points
two points at which the segment is divided
two column proof
type of proof with two columns, one for statements and one for reasons
union
(U) all together
venn diagram
useful tool in determining whether or not a conditional statement is true or false
vertex
endpoint of the angle