Math B
Terms
undefined, object
copy deck
 inductive reasoning
 the use of examples to arrive at conclusions
 deductive reasoning
 the use of the "premiseconclusionreason" 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
<ABC> : 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)