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Triangle similarity: AA, SSS~, and SAS~ — Homework

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Triangle similarity: AA, SSS~, and SAS~ — Homework

For each pair of triangles, determine whether they are similar and name the shortcut (AA, SSS~, or SAS~), showing your ratio or angle check.

  1. 1.Triangle ABC has angle A = 38 degrees and angle B = 96 degrees. Triangle DEF has angle D = 38 degrees and angle F = 46 degrees. Are the triangles similar? Which shortcut?
  2. 2.Triangle GHI has sides 6, 8, 10. Triangle JKL has sides 9, 12, 15. Are the triangles similar? Show the check.
  3. 3.Triangle MNO has MN=5, MO=7, angle M=60 degrees. Triangle PQR has PQ=15, PR=21, angle P=60 degrees. Are the triangles similar? Which shortcut?
  4. 4.A triangle with sides 4, 6, 7 is compared to a triangle with sides 8, 12, 15. Are they similar? Show why or why not.
  5. 5.A 6-foot-tall person casts a 4-foot shadow at the same time a flagpole casts a 30-foot shadow. Explain why AA Similarity justifies a proportion here, then find the flagpole's height.
🌲 Homeschool of the FutureTenth Grade · Math · week 21 homework