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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

made up of points, straight

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