Worksheets — Set 16

Trigonometry · Honors · Law of sines and law of cosines

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. Similar triangles: sides 20, 21, and 22. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 19, find BC/EF = ___ 3. Right triangle: opposite=20, hypotenuse=22. sin θ = ___

_See printable PDF for diagram._

Written practice

1. Similar triangles: sides 19, 20, and 21. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 18, find BC/EF = ___ 3. Right triangle: opposite=19, hypotenuse=21. sin θ = ___ 4. Find missing side using tan 45° = ___ 5. Dilation scale factor 3.1. Image length? ___ 6. Explain why the triangles are similar. 7. Similar triangles: sides 22, 23, and 24. Scale factor? ___ 8. If ΔABC ~ ΔDEF and AB/DE = 21, find BC/EF = ___

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More written practice

1. Right triangle: opposite=22, hypotenuse=24. sin θ = ___ 2. Dilation scale factor 3.4000000000000004. Image length? ___ 3. Similar triangles: sides 25, 26, and 27. Scale factor? ___ 4. If ΔABC ~ ΔDEF and AB/DE = 24, find BC/EF = ___ 5. Right triangle: opposite=25, hypotenuse=27. sin θ = ___ 6. Dilation scale factor 3.7. Image length? ___

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Patterns and rules

1. Similar triangles: sides 36, 37, and 38. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 35, find BC/EF = ___ 3. Right triangle: opposite=36, hypotenuse=38. sin θ = ___

_See printable PDF for diagram._

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Stretch

1. Similar triangles: sides 44, 45, and 46. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 43, find BC/EF = ___

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Parent tip: Set up proportions from similar triangles