Question

1. Segment A'B' is parallel to segment AB. What is the length of segment BB'?

B
B
7
с
5
6
A
A
3
A. 3.5
B. 4
C. 10
D. 10.5

Answer 1

A. 3.5

Explanation:

Given that AB is parallel to A'B', therefore,

CB/CB' = CA/CA'

CB' = 7

CB = CB' + BB' = 7 + BB'

CA' = 6

CA = CA' + AA' = 6 + 3 = 9

Plug in the values

(7 + BB')/7 = 9/6

(7 + BB')/7 = 3/2

Cross multiply

2(7 + BB') = 7(3)

14 + 2BB' = 21

Subtract 14 from both sides

2BB' = 21 - 14

2BB' = 7

Divide both sides by 2

BB' = 7/2

BB' = 3.5