2.1-2.7 Flashcards
an unproven statement based on observations.
conjecture
When you find a pattern and make a conjecture based on that general pattern
Inductive reasoning
A conditional statement and it’s contrapositive are either both true or both false
equivalent statements
two lines that intersect to form a right angle
perpendicular lines
When a contitional statement and it’s converse are true.
biconditional statement
using facts, definitions, accepted properties, and the laws of logic to form a logical arguement
deductive reasoning
If the hypothesis of a true conditional statement is true then the conclusion is also true.
law of detachment
Perpendicular figures
A line is a line perpendicular to a plane if and only if the line intersects the plane in a point and is perpendicular to every line in the plane that intersects it at that point.
Reflexive: AB is congruent to AB
Symmetric: AB is congruent to CD, CD is congruent to AB
Transitive: AB is congruent to CD, CD is congruent to EF, AB is congruent to EF.
Congruence of segments theorem
Reflexive: angle A is congruent to angle A
Symmetric: angle A is congruent to angle B =, angle B is congruent to angle A
Transitive: angle A is congruent to angle B, angle B is congruent to angle C, angle A is congruent to angle C
Congrunce of angles theorem
All right angles are congruent
Right angle congruence theroem
Congruent supplements theorem If two angle are supplements to the same angle then they are congruent
Congruent supplements theorem
If two angles are complements for the same angle then they are congruent
Congruent complements theorem
If two angles form a linear pair then they are supplementary
Linear pair postulate
vertical angles are congruent
Vertical angles congruency theorem
