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ac, df, and gi are parallel. use the figure to complete the proportion …

Question

ac, df, and gi are parallel. use the figure to complete the proportion
ad/dg =?/eh
ab
bc
cf
fh

Explanation:

Step1: Recall similar - triangle property

When three parallel lines ($AC$, $DF$, $GI$) are intersected by two transversals, the ratios of corresponding segments are equal.

Step2: Identify corresponding segments

In the given figure, $\frac{AD}{DG}=\frac{BE}{EH}$ because of the property of parallel lines intersected by transversals.

Answer:

BE