Geom2.4.notebook
January 20, 2011
Geometry
Ch.2 Notes Page 10
P10 2­4 Reasoning in Algebra
Jan 10­3:18 PM
Jan 12­6:05 AM
1
Geom2.4.notebook
January 20, 2011
Addition Property of Equality
­the same number is added to both sides
x ­ 8 = 10
Subtraction Property of Equality
­the same number is subtracted from both sides
x + 2 = 5
Jan 15­10:37 AM
Multiplication Property of Equality
­the same number is multiplied to both sides
x
= 10
4
Division Property of Equality
­the same number is being divided by to both sides
10x = 60
Distributive Property
­an expression of the form a(b + c) is equal to ab + ac
Jan 12­3:23 PM
2
Geom2.4.notebook
January 20, 2011
Jan 15­10:36 AM
Jan 13­6:31 AM
3
Geom2.4.notebook
January 20, 2011
Segment Addition.
­adding two segments to make one larger segment.
Example.
2x­1
4x
B
A
A
C
angle ABD = 75
A
C
5x
B
D
C
B
Angle Addition.
­adding two angles to make one larger angle.
Example.
A
B
AC = 42
C
7x+1
D
Substitution Property
­if values are equal, one may be substituted for the other (replace)
X
XZ = 100
2x + 7
3x
Y
XY + YZ = XZ
Z
Jan 15­10:56 AM
Jan 12­3:36 PM
4
Geom2.4.notebook
January 20, 2011
Jan 13­6:32 AM
Jan 12­3:38 PM
5
Geom2.4.notebook
January 20, 2011
Jan 13­6:32 AM
Jan 12­3:39 PM
6
Geom2.4.notebook
January 20, 2011
Jan 12­6:05 AM
Reflexive Property
­a number equal to itself
a = a
Example.
JL = __________ If
ABC = SYX and SYX =
ABC = _________
RST, then __________________
Jan 15­4:22 PM
7
Geom2.4.notebook
January 20, 2011
Jan 12­3:41 PM
HW #10
2­4 P105 #1,2,5­24,27
Please put your name and class period at the top of
the homework. Also include the homework number.
Terms:
Reflexive Property,
Symmetric Property,
Transitive Property
Jan 10­3:18 PM
8