Question

If LP = 15 and PR = 9, find LR. Explain. LR = 24 because 15 + 9 = 24 according to the addition property of equality. LR = 6 because LR + LP = PR according to the Segment Addition Postulate, and 6 + 9 = 15 using substitution. LR = 24 because LP + PR = LR according to the Segment Addition Postulate, and 15 + 9 = 24 using substitution. LR = 6 because 15 − 9 = 6 according to the subtraction property of equality.

Answer 1

Explanation:

Given,

LP = 15, PR = 9

Point P lies on the line segment PR. It would mean that,

LP + PR = LR

⇒LR = 15 + 9

⇒ LR = 24

Hence, "LR = 24 because LP + PR = LR according to the Segment Addition Postulate, and 15 + 9 = 24 using substitution" is the correct option.