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Geometry · Chapter 4 · Lesson 4.3 · Printable PDF

Why AAA and SSA Fail Worksheet with Answer Key

6 problems on why AAA and SSA do not prove triangles congruent: similar triangles that differ, swinging a hinged stick, obtuse angles, and extra facts that rescue SSA. 3 pages, with a worked answer key.

6 problems3 pagesanswer key
Printable Why AAA and SSA fail 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 angles and compare triangles made by an altitude in a right triangle.
  2. Swing a stick of length 30 from B to see how many triangles fit with an acute angle at A.
  3. Decide whether pairs of facts about triangles with 30, 70 and 80 degree angles force congruence.
  4. Work with an obtuse angle at A and find distances to the perpendicular foot.
  5. Decide which extra facts turn SSA into a proof of congruence.
  6. Prove two angles are supplementary using an altitude and equal segments.

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

Why AAA and SSA fail: the lesson ›

More Chapter 4 worksheets: Triangle congruence and proof