Worksheets — Set 12

Trigonometry · Right-triangle trigonometry

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

Warm-up

1. Similar triangles: sides 16, 17, and 18. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 15, find BC/EF = ___ 3. Right triangle: opposite=16, hypotenuse=18. sin θ = ___

_See printable PDF for diagram._

Written practice

1. Similar triangles: sides 15, 16, and 17. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 14, find BC/EF = ___ 3. Right triangle: opposite=15, hypotenuse=17. sin θ = ___ 4. Find missing side using tan 45° = ___ 5. Dilation scale factor 2.7. Image length? ___ 6. Explain why the triangles are similar. 7. Similar triangles: sides 18, 19, and 20. Scale factor? ___ 8. If ΔABC ~ ΔDEF and AB/DE = 17, find BC/EF = ___

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More written practice

1. Right triangle: opposite=18, hypotenuse=20. sin θ = ___ 2. Dilation scale factor 3. Image length? ___ 3. Similar triangles: sides 21, 22, and 23. Scale factor? ___ 4. If ΔABC ~ ΔDEF and AB/DE = 20, find BC/EF = ___ 5. Right triangle: opposite=21, hypotenuse=23. sin θ = ___ 6. Dilation scale factor 3.3. Image length? ___

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Patterns and rules

1. Similar triangles: sides 32, 33, and 34. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 31, find BC/EF = ___ 3. Right triangle: opposite=32, hypotenuse=34. sin θ = ___

_See printable PDF for diagram._

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Parent tip: Set up proportions from similar triangles