Multiple choice general knowledge math & puzzles

If a line divides two sides of a triangle in proportion, then it is parallel to the third side.

  1. True

  2. False
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A Correct answer
Explanation

This is the Basic Proportionality Theorem (also called Thales' theorem). When a line divides two sides of a triangle in the same ratio, it must be parallel to the third side. This creates similar triangles.

AI explanation

This is the converse of the Basic Proportionality Theorem (Thales' theorem): if a line intersects two sides of a triangle and divides them in the same ratio, it must be parallel to the third side. This is a standard, provable geometric result, so the statement is true.

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