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Geometry · Chapter 7 · Lesson 7.5 · Printable PDF

Proving the Triangle Proportionality Theorem Worksheet with Answer Key

5 problems on proving the triangle proportionality theorem: a plant stand and a park path, completing a proof, a median through a parallel segment, and a squared-length proof. 2 pages, with a worked answer key.

5 problems2 pagesanswer key
Printable Proving the triangle proportionality theorem worksheet with answer key - Geometry (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Find the shelf lengths on an A-shaped plant stand.
  2. Finish a classmate's proof that a parallel segment cuts the sides in proportion.
  3. Find where the footpath meets edge AC so it runs parallel to BC.
  4. Prove the median is cut in the same ratio by a parallel segment.
  5. Prove AD squared equals AF times AB using two parallel segments.

Teach it first

The free lesson teaches it with worked examples and practice problems.

Proving the triangle proportionality theorem: the lesson ›

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