Valid or invalid algebraic
Determine if the equations are valid or invalid.
equations
2
(x + 2) (x + 2) = x
+ 4
3
3
6
X
x
= x
– (x + y) = x – y
Reflexive property of equality
Geometric Properties of
Equality
For any segment AB, _______ = ______
Symmetric property of equality
If m A = m B, then _______ = ______
Transitive property of equality
If AB = CD and CD = EF, then, _______ = ______
Example 3
In the diagram, AB = CD. Show that AC = BD
A
B
C
D
Statement
Reason
AB = CD
AB + BC = BC + CD
AC = AB + BC
BD = BC + CD
AC = BD
Example 3
In the diagram, ABC = DBF. Show that ABD = CBF
A
C
D
B
F
Statement
Reason
10