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Honors Geometry Chapter 2 Quiz A
Vocabulary, Theorems, and Postulates
22
Mathematics
8th Grade
09/22/2010

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Term
Synonyms of if-then statements
Definition
conditional statements or conditionals
Term
The letter that represents the hypothesis
Definition
p
Term
The letter that represents the conclusion
Definition
q
Term
Forms of an if-then statement
Definition

If p, then q

p implies q

p only if q

q if p

Term
Biconditional
Definition
A statement that contains the words "if and only if"
Term
The basic form of a biconditional
Definition
p if and only if q
Term
Addition POE
Definition
If a=b and c=d, then a+c=b+d
Term
Subtraction POE
Definition
If a=b and c=d, then a-c=b-d
Term
Multiplication POE
Definition
if a=b and c=d, then a-c=b-d
Term
Division POE
Definition
If a=b, and c is not equal to 0, then a/c=b/c
Term
Substitution POE
Definition
If a=b, then either a or b may be substituted for the other in any equation or inequality
Term
Reflexive POE
Definition
a=a
Term
Symmetric POE
Definition
If a=b, then b=a
Term
Transitive POE
Definition
If a=b and b=c, then a=c
Term
Reflexive Property of Congruence
Definition

Segment DE is congruent to Segment DE

Angle D is congruent to Angle D

Term
Symmetric Property of Congruence
Definition

If segment DE is congruent to segment FG, then segment FG is congruent to segment DE

If angle D is congruent to angle E, then angle E is congruent to angle D

Term
Transitive Property of Congruence
Definition

If segment DE is congruent to segment FG and segment FG is congruent to segment JK, then segment DE is congruent to segment JK

 

If angle D is congruent to angle E and angle E is congruent to angle F, then angle D is congruent to angle F

 

 

Term
Distributive Property
Definition
a(b+c)=ab+ac
Term
Midpoint Theorem
Definition

If M is the midpoint of segment AB, then AM is 1/2(AB) and MB is 1/2 (AB)

 

Term
Angle Bisector Theorem
Definition
If ray BX is the bisector of angle ABC, then the measure of ABX=1/2 of the measure of angle ABC and the measure of angle XBC=1/2 of the measure of angle ABC.
Term
Angle Addition Postulate
Definition

If point B lies in the interior of angle AOC, then the measure of angle AOB + the measure of angle BOC = the measure of angle AOC.

 

If angle AOC is a straight angle and B is any point not on line AC, then the measure of AOB + measure of BOC = 180.

Term
Segment Addition Postulate
Definition
If B is between A and C, then AB + BC = AC. 
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