Geometry

Question Analysis

This question involves the Side - splitter theorem corollary. The main focus is on using the property of parallel lines in a triangle to establish a proportion between the sides of the triangles formed.

 

Key Concept Explanation

The Side - splitter theorem corollary states that if a line is parallel to one side of a triangle and intersects the other two sides, it divides those sides proportionally.

 

Step - by - Step Solution

By the Side - splitter theorem corollary, we have .

So the missing term in the proportion is .

 

Option Analysis

A.AC: This is incorrect. If we put in the blank, based on the parallel - line proportion rules.

B.EF: This is incorrect.

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