Math B
Terms
undefined, object
copy deck
- inductive reasoning
- the use of examples to arrive at conclusions
- deductive reasoning
- the use of the "premise-conclusion-reason" process(PCR process)
- postulate
- (axiom) a statement whose truth is assumed without proof
- theorem
- is a statement proved by deductive reasoning
- reflexive property of equality
- a quantity is equal to itself
- symmetric property of equality
- an equality may be reversed (if a = b then b = a)
- transitive property of equality
- if quantities are equal to the same quantity then they are equal to each other (if a = b and b = c then a = c)
- partition postulate
- a whole is equal to the sum of all its parts (property of betweenness)
- substitution postulate
- a quantity may be substituted for its equal in any expression
- midpoint
- is the point of a line segment that divides the segment into two congruent segments
- angle bisector
- a line, segment, or ray that passes through the vertex of an angle dividing the angle into two congruent angles
- segment bisector
- a line, segment, or ray that passes through the midpoint of a segment dividing the segment into two congruent segments
- perpendicular lines
- lines that intersect to form right angles
- complementary angles
- two angles whose sum is 90 degrees
- supplementary angles
- two angles whose sum is 180 degrees
- altitude of a triangle
- a line segment drawn from any vertex, perpendicular to and ending in the opposite side
- right angle
- an angle that measures exactly 90 degrees
- straight angle
- an angle that measures exactly 180 degrees (a line)
- linear pair
- two adjacent angles that together form a line
- vertical angles
- when two lines intersect the angles that lie opposite of each other
- congruent
- equal in measure
- isosceles triangle
- a triangle with two congruent sides
- collinear points
- points that lie on the same line
- addition postulate
- if equal quantities are added to equal quantities, the sums are equal
- subtraction postulate
- if equal quantities are subtracted from equal quantities, the differences are equal
- multiplication postulate
- if equal quantities are multiplied by equal quantities, the products are equal (doubles of equal quantities are equal)
- division postulate
- if equal quantities are divided by equal quantities, the quotients are equal (halves of equal quantities are equal)
- powers postulate
- the squares of equal quantities are equal
- roots postulate
- positive square roots of equal quantities are equal
- adjacent angles
- share a common vertex or side, but have no common interior points
- scalene triangle
- no congruent sides
- acute angle
- less than 90 degrees
- segment
- line with two endpoints
- ray
- continual line with one endpoint
- angle
- intersection of two rays
- obtuse
- greater than 90 degrees and less than 180 degrees
- opposite rays
-
rays that mirror each other
<-A---B---C-> : BA and BC - premise
- the "if" part of a conditional statement. it is a statement whose truth has been established, known to be true.
- conclusion
- the "then" part of a conditional statment. it is a statement whose truth is the result of the premise.
- reason
- the justification for the conclusion (definitions, properties, theorems)