Worksheets — Set 5

Geometry · Honors · Trigonometric ratios in right triangles

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

Warm-up

1. Similar triangles: sides 9, 10, and 11. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 8, find BC/EF = ___ 3. Right triangle: opposite=9, hypotenuse=11. sin θ = ___

_See printable PDF for diagram._

Written practice

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

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More written practice

1. Right triangle: opposite=11, hypotenuse=13. sin θ = ___ 2. Dilation scale factor 2.3. Image length? ___ 3. Similar triangles: sides 14, 15, and 16. Scale factor? ___ 4. If ΔABC ~ ΔDEF and AB/DE = 13, find BC/EF = ___ 5. Right triangle: opposite=14, hypotenuse=16. sin θ = ___ 6. Dilation scale factor 2.6. Image length? ___

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Patterns and rules

1. Similar triangles: sides 25, 26, and 27. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 24, find BC/EF = ___ 3. Right triangle: opposite=25, hypotenuse=27. sin θ = ___

_See printable PDF for diagram._

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Parent tip: Set up proportions from similar triangles