# Answer to Question #13885 in Geometry for Orlando Arzola

Question #13885

The Question Marks are what I need to know the answers to. The first statement answer is obviously "Given". I believe the second is "Segment Addition Postulate" for the third one down I have "Transitive Property". Fourth I have "Segment Addition Postulate". Fifth "Transitive Property". Sixth "Addition Property". Seventh and Eighth I put "Symmetric Property" I need to know if this is correct. This is the problem:

In the Diagram below AC=BD. Fill in the reasons to show that line CD=̃AB.

A________B_______________________C____D

Statements/ Reasons (the question marks represent the postulates that I need to identify)

1) AC=BD (?)

2) AC=AB+BC (?)

3) AB+BC=BD (?)

4) BD=BC+CD (?)

5) AB+BC=BC+CD (?)

6) AB=CD (?)

7) CD=AB (?)

8) CD=̃AB (?)

In the Diagram below AC=BD. Fill in the reasons to show that line CD=̃AB.

A________B_______________________C____D

Statements/ Reasons (the question marks represent the postulates that I need to identify)

1) AC=BD (?)

2) AC=AB+BC (?)

3) AB+BC=BD (?)

4) BD=BC+CD (?)

5) AB+BC=BC+CD (?)

6) AB=CD (?)

7) CD=AB (?)

8) CD=̃AB (?)

Expert's answer

1) AC=BD & (Given)

2) AC=AB+BC (Segment Addition Postulate)

3) AB+BC=BD (Transitive Property)

4) BD=BC+CD (Segment Addition Postulate)

5) AB+BC=BC+CD (Transitive Property)

6) AB=CD (Addition Property)

7) CD=AB (Symmetric Property)

8) CD=̃AB (Symmetric Property)

2) AC=AB+BC (Segment Addition Postulate)

3) AB+BC=BD (Transitive Property)

4) BD=BC+CD (Segment Addition Postulate)

5) AB+BC=BC+CD (Transitive Property)

6) AB=CD (Addition Property)

7) CD=AB (Symmetric Property)

8) CD=̃AB (Symmetric Property)

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