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

Question

Jenna Faulkner

Mathematics

25 April, 06:29

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

+4

Answers (1)

Know the Answer?

Lane Kemp · Answer 1

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

From this given statement, select the definition, property, postulate, or theorem that justifies the prove statement.Given: AD = DB and CD = DEProve: AD + CD = DE + DEA: definition of a segment bisectorB: Multiplication PropertyC: Substitution PropertyD: Addition PropertyE: Reflexive Property