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From this given statement, select the definition , property, postulate, or theorem that justifies the prove statement.

Given: AD = DB and CD = DE
Prove: AD + CD = DE + DE

A: definition of a segment bisector
B: Multiplication Property
C: Substitution Property
D: Addition Property
E: Reflexive Property

Respuesta :

Additive property of equality states that:

if a=b, then a+c = b+c, 

that is, if 2 quantities of the same value are added the same quantity, they are again equal.


In our problem a=AD, b=DB,    and c= CD=DE

thus a+c=b+c means AD + CD = DE + DE, 

by the Addition Property


Answer: Addition Property

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