Question

1. & 2. In the diagram below, points A, B, and C are collinear. Answer each of the following questions. The figure shown below is not drawn to scale, meaning you cannot determine your answers by using your ruler.​

Answer 1

a. 8 in

b. 9¾ in

Explanation:

a. Given:

AC = 5 in

CB = 3 in

Since points A, C and P are collinear, therefore,

AC + CB = AB (segment addition postulate)

5 + 3 = AB (substitution)

8 = AB

AB = 8 in

b. Given:

AC = 6¼ in

CB = 3½ in

AC + CB = AB (segment addition postulate)

6¼ + 3½ = AB (substitution)

9¾ = AB

AB = 9¾ in