Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
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
|