Answer:
B. JH
Step-by-step explanation:
Side-splitter theorem states that if a line is parallel to one of the sides of a triangle and intersects two other sides, then it divides the two other sides in equal proportion.
As per the given diagram,
We see line [tex]JH[/tex] is such a line which is parallel to side [tex]EF[/tex] of [tex]\triangle GEF[/tex].
Thus it divides [tex]GE \ and \ GF[/tex] in equal proportion as below.
[tex]\frac{GH}{HE}=\frac{GJ}{JF}[/tex]
Thus [tex]JH[/tex] would complete the proportion.
Answer:
Step-by-step 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
[tex]\frac{GH}{GJ}=\frac{HE}{JF}[/tex]
Therefore, the segment that completes the proportion is GJ, because it must be used according to the theorem.
