Worksheets — Set 7

Geometry · Honors · Trigonometric ratios in right triangles

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

Warm-up

1. Similar triangles: sides 11, 12, and 13. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 10, find BC/EF = ___ 3. Right triangle: opposite=11, hypotenuse=13. sin θ = ___

_See printable PDF for diagram._

Written practice

1. Similar triangles: sides 10, 11, and 12. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 9, find BC/EF = ___ 3. Right triangle: opposite=10, hypotenuse=12. sin θ = ___ 4. Find missing side using tan 45° = ___ 5. Dilation scale factor 2.2. Image length? ___ 6. Explain why the triangles are similar. 7. Similar triangles: sides 13, 14, and 15. Scale factor? ___ 8. If ΔABC ~ ΔDEF and AB/DE = 12, find BC/EF = ___

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More written practice

1. Right triangle: opposite=13, hypotenuse=15. sin θ = ___ 2. Dilation scale factor 2.5. Image length? ___ 3. Similar triangles: sides 16, 17, and 18. Scale factor? ___ 4. If ΔABC ~ ΔDEF and AB/DE = 15, find BC/EF = ___ 5. Right triangle: opposite=16, hypotenuse=18. sin θ = ___ 6. Dilation scale factor 2.8. Image length? ___

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Patterns and rules

1. Similar triangles: sides 27, 28, and 29. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 26, find BC/EF = ___ 3. Right triangle: opposite=27, hypotenuse=29. sin θ = ___

_See printable PDF for diagram._

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Parent tip: Set up proportions from similar triangles