Question

1. if a line ______ to one side of a triangle intersects the other two sides, then it divides the 2 sides proportionally.

options: parallel, perpendicular, skew, concurrent

Explanation:

This is a question about the basic proportionality theorem (Thales' theorem) in geometry. The theorem states that if a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. Perpendicular lines (forming right - angles) do not follow this proportionality rule in the general case for triangle side - division. Skew lines are non - intersecting and non - parallel lines in 3 - D space, which is not relevant here as we are dealing with a triangle (a 2 - D figure). Concurrent lines are lines that meet at a single point, which also does not fit the description of dividing two sides of a triangle proportionally.

Answer:

A. parallel