Question

1. use the image below to answer the question. using the segment addition postulate, find the length of segment ef.

eg = 17
fg = 12
○ 12
○ 5
○ 29
○ 17

Explanation:

Step1: Recall Segment Addition Postulate

The segment addition postulate states that if a point \( F \) is on segment \( EG \), then \( EF + FG = EG \).

Step2: Substitute Known Values

We know \( EG = 17 \) and \( FG = 12 \). Substitute these into the equation: \( EF + 12 = 17 \).

Step3: Solve for \( EF \)

Subtract 12 from both sides of the equation: \( EF = 17 - 12 \).
Calculate \( 17 - 12 = 5 \).

Answer:

5 (corresponding to the option with value 5)