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Geometry

Theorems on Proportional Segments (Strahlensätze)

This is a lesson from the Studienkolleg entrance exam preparation course. The full theory, worked examples and practice tasks unlock after you log in with paid access.

What is in this lesson

  1. 01GENERAL CONCEPTS
  2. 02THE TWO MAIN THEOREMS (DIE STRAHLENSÄTZE)
  3. 03I. Erster Strahlensatz (Ratio along the rays)
  4. 04II. Zweiter Strahlensatz (Ratio on the parallel segments)
  5. 05SIMILARITY OF TRIANGLES (ÄHNLICHKEIT)
  6. 06GOLDEN RULES FOR SOLVING (STRATEGIE)
  7. 07PITFALLS (GEFAHREN)
  8. 08IN-DEPTH LOOK: STRAHLENSÄTZE AND SIMILARITY (VERTIEFUNG)
  9. 09The "hourglass" theorem (Strahlensatz bei Schnittgeraden)
  10. 10Working with similarity (Ähnlichkeitssätze)
  11. 11The classic "vertical object" problem
  12. 12The big pitfall: adding up segments
  13. 13Mentor's tip

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