Worksheets — Set 13

Geometry · Honors · Trigonometric ratios in right triangles

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

Warm-up

1. Similar triangles: sides 17, 18, and 19. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 16, find BC/EF = ___ 3. Right triangle: opposite=17, hypotenuse=19. sin θ = ___

_See printable PDF for diagram._

Written practice

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 = ___ 4. Find missing side using tan 45° = ___ 5. Dilation scale factor 2.8. Image length? ___ 6. Explain why the triangles are similar. 7. Similar triangles: sides 19, 20, and 21. Scale factor? ___ 8. If ΔABC ~ ΔDEF and AB/DE = 18, find BC/EF = ___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Right triangle: opposite=19, hypotenuse=21. sin θ = ___ 2. Dilation scale factor 3.1. Image length? ___ 3. Similar triangles: sides 22, 23, and 24. Scale factor? ___ 4. If ΔABC ~ ΔDEF and AB/DE = 21, find BC/EF = ___ 5. Right triangle: opposite=22, hypotenuse=24. sin θ = ___ 6. Dilation scale factor 3.4000000000000004. Image length? ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Similar triangles: sides 33, 34, and 35. Scale factor? ___ 2. If ΔABC ~ ΔDEF and AB/DE = 32, find BC/EF = ___ 3. Right triangle: opposite=33, hypotenuse=35. sin θ = ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Set up proportions from similar triangles