Question

If LR = 12 and LP = 7, find PR. Explain.

O PR = 19 because 12 + 7 = 19 according to the addition property of equality.
O PR = 5 because 12 - 7 = 5 according to the subtraction property of equality.
O PR = 19 because LR + LP = PR according to the Segment Addition Postulate, and 12 + 7 = 19 using substitution.
O PR = 5 because LP + PR = LR according to the Segment Addition Postulate, and 7 + 5 = 12 using substitution.

Answer 1

PR = 5 because LP + PR = LR according to the Segment Addition Postulate, and 7 + 5 = 12 using substitution.

Explanation:

I am pretty sure i am right

Answer 2

PR = 5 because LP + PR = LR according to the Segment Addition Postulate, and 7 + 5 = 12 using substitution

Explanation:

The naming of the segments suggests that point P is between L and R, so that ...

LP + PR = LR

This corresponds to the last choice.

_____

Comments on the alternate interpretation

On the other hand, if point L is between P and R, then the segments are PL and LR. The Segment Addition Postulate would tell you that ...

PL + LR = PR

The Reflexive Property of Congruence would tell you that PL = LP. The Substitution Property would tell you LP can be substituted into this equation, making it ...

LP + LR = PR

and by the commutative property, ...

LR + LP = PR.

Multiple properties of addition and congruence are involved with this interpretation, which more or less matches the third choice. That is, the simple explanation of answer choice 3, by itself, is insufficient to explain why the length of PR should be considered to be 19, not 5.