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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 half-plane 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.