Chapter 2 Flashcards
conditionals
an if-then statement
hypothesis
part of an if-then after “if”
conclusion
part of an if-then after “then”
converse
a conditional statement formed by interchanging the hypothesis and the conclusion
counterexample
an example found to prove an if-then wrong
biconditional
if a conditional and its converse are both true they can be combined into a single statement by using the words “if and only if”
properties of equality
- addition property
- subtraction property
- multiplication property
- division property
- substitution property
- reflexive property
- symmetric property
- transitive property
properties of congruence
- reflexive property
- symmetric property
- transitive property
midpoint theorem
if M is the midpoint of line AB, then AM= 1/2AB and MB=1/2AB
angle bisector theorem
if ray BX is the bisector of angle ABC, then measurement of angle ABX= 1/2m angle ABC and m angle XBC= 1/2m angle ABC
complementary angles
two angles whose measures have the sum of 90; each angle is the complement of the other
supplementary angles
two angles whose measures have the sum of 180; each angle is a supplement of the other
vertical angles
two angles such that the sides of one angle are opposite rays to the sides of the other angle; happens when two lines intersect
perpendicular lines
two lines that intersect to form right angles
theorem 2-4
if two lines are perpendicular, then they form congruent adjacent angles
