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13 Cards in this Set
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Angle Measure Postulate
a. Unique Measure Assumption 
Every angle has a unique measure from o to 180 . p. 126


Angle Measure Postulate
b. Unique Angle Assumption 
Given any ray VA and any real number r between 0 and 180, there is a unique angle BVA in each halfplane of VA such that m<BVA = r. p. 126


Angle Measure Postulate
c. Zero Angle Assumption 
If VA and VB are the same ray, then m<AVB = 180. p.126


Angle Measure Postulate
e. Angle Addition Property 
If VC (except for point V) is in the interior of <AVB, then m<AVC + m<CVB = m<AVB. p. 126


Degree measure of a minor arc or semicircle AB

The degree measure of a minor arc or semicircle AB of circle O, written mAB, is the measure of its central angle <AOB.


Degree measure of a major ACB

The degree measure of a major ACB of circle O, written mACB, is 360  mAB. p. 133


If m is the measure of an angle, then the angle is:
a. zero b. acute c. right d. obtuse e. straight 
a. zero if and only if m = 0.
b. acute ... 0 < m < 90 c. right ... m = 90 d. obtuse .. 90 < m < 180 e. straight .. m = 180 

If the measures of two angles are M1 and M2, then the angles are:
a. Complementary 
Complementary 
if and only if M1 + M2 = 90. p. 138 

If the measures of two angles are M1 and M2, then the angles are:
b. Supplementary 
Supplementary if and only if
M1 + M2 = 180. p.138 

Postulates of equality:
For any real numbers a,b, and c: Reflexive Symmetric Transitive 
Reflexive:
a = a Symmetric: if a = b, then b = a Transitive if a = b and b = c, then a = c 

Postulates of Equality and Operations:
For any real numbers a,b, and c: Addition Multiplication 
Addition property of equality:
if a = b, then a + c = b + c. Multiplication property of equality: if a = b. then ac = bc. 

Postulates of Equality and Inequality:
For any real numbers a, b, and c: Equation to Inequality Property: 
Equation to Inequality Property:
If a and b are positive numbers and a + b = c, then c > a and c > b. 

Postulates of Equality and Inequality:
For any real numbers a, b, and c: Substitution Property: 
Substitution Property:
If a = b, then a may be substituted for b in any expression. 