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21 Cards in this Set

  • Front
  • Back
If Then Statements
also called conditionals
if (hypothesis), then (conclusion)
converse may be false- called a counterexample
Biconditional
if a conditional and its converse are both true
use "if and only if"
Reflexive
a = a

DE con2 DE
Symmetric
if a = b, then b = a
Transitive
if a = b and b = c, then a = c
Midpoint Theorem
If M is the midpoint of AB,
then AM = 1/2AB and MB = 1/2AB
Angle Bisector Theorem
If BX is the bisector of angle ABC, then
ABX plus XBC equal ABC
(bisectors cut angles in half)
IN A PROOF...
Given information (often first or near the beginning of the proof)
Definitions
Postulates (include algebra props.)
Theorems
Vertical angles are congruent
Theorem for angles that are across from each other
PERPENDICULAR THEOREMS...

If two lines are perp., then....
they form congruent adjacent angles
If Then Statements
also called conditionals
if (hypothesis), then (conclusion)
converse may be false- called a counterexample
Biconditional
if a conditional and its converse are both true
use "if and only if"
Reflexive
a = a

DE con2 DE
Symmetric
if a = b, then b = a
Transitive
if a = b and b = c, then a = c
Midpoint Theorem
If M is the midpoint of AB,
then AM = 1/2AB and MB = 1/2AB
Angle Bisector Theorem
If BX is the bisector of angle ABC, then
ABX plus XBC equal ABC
(bisectors cut angles in half)
IN A PROOF...
Given information (often first or near the beginning of the proof)
Definitions
Postulates (include algebra props.)
Theorems
Vertical angles are congruent
Theorem for angles that are across from each other
PERPENDICULAR THEOREMS...

If two lines are perp., then....
they form congruent adjacent angles

reverse it- BICONDITIONAL!
If the exterior sides of 2 adjacent acute angles are perpendicular...
then the angles are complementary