Question

1. use the image below to answer the question. using the segment addition postulate, find the length of segment ef. de = 12 df = 38

12
19
24
26

Explanation:

Step1: Recall Segment Addition Postulate

The segment addition postulate states that if point \( E \) is on segment \( DF \), then \( DE + EF = DF \).

Step2: Substitute Known Values

We know \( DE = 12 \) and \( DF = 38 \). Substitute these into the equation: \( 12 + EF = 38 \).

Step3: Solve for \( EF \)

Subtract 12 from both sides of the equation: \( EF = 38 - 12 \).
Calculate \( 38 - 12 = 26 \).

Answer:

26