Question

Using the side-splitter theorem, which segment length would complete the proportion?

A. GF
B. JH
C. GJ
D. EF

Answer 1

C. GJ

Explanation:

The side-splitter theorem states that "if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally".

Based on this theorem, which an elaborate the following proportion

`(GH)/(GJ)=(HE)/(JF)`

Therefore, the segment that completes the proportion is GJ, because it must be used according to the theorem.