Worksheets — Set 8

Geometry · Honors · Geometric modeling and constructions

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

Warm-up

1. Design problem: ladder 19 ft against wall. Height if base 15 ft from wall? 2. Sketch a model and label known lengths. 3. Choose a theorem or formula: ___

_See printable PDF for diagram._

Written practice

1. Design problem: ladder 18 ft against wall. Height if base 14 ft from wall? 2. Sketch a model and label known lengths. 3. Choose a theorem or formula: ___ 4. Answer with units and reasonableness check. ___ 5. What assumption did you make? 6. Create a similar modeling question. 7. Design problem: ladder 21 ft against wall. Height if base 17 ft from wall? 8. Design problem: ladder 24 ft against wall. Height if base 20 ft from wall?

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Design problem: ladder 27 ft against wall. Height if base 23 ft from wall? 2. Design problem: ladder 30 ft against wall. Height if base 26 ft from wall? 3. 5 + 6 = ___ 4. 6 + 7 = ___ 5. 2 + 4 = ___ 6. 3 + 5 = ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Design problem: ladder 35 ft against wall. Height if base 31 ft from wall? 2. Sketch a model and label known lengths. 3. Choose a theorem or formula: ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Sketch a diagram with labels