All Mixed Up: The proofs below are all mixed up. Rearrange either the statements or the reasons so the proofs make sense. - Explain & Show Work

Question

Statements
a. PQ = RS
b. QR = QR
c. PQ + QR  = RS + QR
d. PR = PQ + QR

QS = QR + RS
e. PR = QS


Reasons

a. Reflexive Property of Equality
b. Substitution Property of Equality
c. Given
d. Addition Property of Equality
e. Segment Addition Postulate

Answer 1

   Statements                    Reasons

1 PQ = RS                        1. Given information

2.QR = QR                       2. Reflexive postulate....EVERY quantity is equal to itself

3.PQ + QR = RS+QR        3. Addition Postulate....If 2 = quantities are added, the resulting sums are =.

4 PR=PQ+QR                   4. Partition Postulate. A whole is made up of the sum of its parts.

  QS = QR+RS

5.PR = QS                        5. Substitution Postulate....if 2 quantities are =, they can be substituted for one another

                                           in any expression

 

For Reason number 4, your teacher uses segment addition postulate.....It's not very clear, at least not the way I teach it, what your teacer means by d and e and what the difference is...I've always learned and taught the partition postulate.

 

Hope this helped.