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Lynna [10]
3 years ago
9

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

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
6 0

Answer:

<h2>C. GJ</h2>

Step-by-step explanation:

The side-splitter theorem states that <em>"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".</em>

<em />

Based on this theorem, which an elaborate the following proportion

\frac{GH}{GJ}=\frac{HE}{JF}

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

Anvisha [2.4K]3 years ago
5 0

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 JH is such a line which is parallel to side EF of \triangle GEF.

Thus it divides GE \ and \ GF in equal proportion as below.

\frac{GH}{HE}=\frac{GJ}{JF}

Thus JH would complete the proportion.

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