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Geometry 2.5
Name______________________
Reason Using Properties from Algebra Date______________ Hr_____
ALGEBRAIC PROPERTIES OF EQUALITY
Let a, b, and c be real numbers.
Addition Property
If a = b, then _____________________________.
Subtraction Property
If a = b, then _____________________________.
Multiplication Property
If a = b, then _____________________________.
Division Property
If a = b and c = 0, then_____________________.
Substitution Property
If a = b, then ____________________________
_______________________________________
_______________________________________.
Distributive Property
EXAMPLE
60  3(8x  4)

a(b + c) =_________________________, where
a, b, and c are real numbers.
Geometry 2.5
Name______________________
Reason Using Properties from Algebra Date______________ Hr_____
REFLEXIVE PROPERTY OF EQUALITY
Real Numbers
For any real number a, ____________________________.
Segment Length
For any segment AB, _____________________________.
Angle Measure
For any angle A, _________________________________.
SYMMETRIC PROPERTY OF EQUALITY
Real Numbers
For any real numbers a and b, if a = b, then
______________________________________________.
Segment Length
For any segments AB and CD,if AB = CD,
then__________________________________________.
Angle Measure
For any angles A and B, if m  A = m  B then
______________________________________________.
TRANSITIVE PROPERTY OF EQUALITY


For any real numbers a, b, and c, if a = b and b= c, then
Real Numbers
______________________________________________.
Segment Length
For any segments AB ,CD, and EF, if AB = CD
and CD = EF, then_______________________________.
Angle Measure
For any angles A, B, and C, if m  A = m  B and
m  B = m  C, then ______________________________.
EXAMPLE

Show that CF = AD.



EQUATION
REASON
AB = _________
Given
BC = _________
Given
AB + BC = EF + BC
_______________________________________
AB + BC = EF + _____
Substitution Property of Equality
AC = DF
_______________________________________
AC + _____ = DF + _____
Addition Property of Equality
_____ = _____
Segment Addition Postulate
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