HUNTERTUTORING

Worksheets — Set 18

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Geometry · Honors · Geometric modeling and constructions

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

Warm-up

1. Design problem: ladder 29 ft against wall. Height if base 25 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 28 ft against wall. Height if base 24 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 31 ft against wall. Height if base 27 ft from wall? 8. Design problem: ladder 34 ft against wall. Height if base 30 ft from wall?

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More written practice

1. Design problem: ladder 37 ft against wall. Height if base 33 ft from wall? 2. Design problem: ladder 40 ft against wall. Height if base 36 ft from wall? 3. 5 + 4 = ___ 4. 6 + 5 = ___ 5. 2 + 6 = ___ 6. 3 + 7 = ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Design problem: ladder 45 ft against wall. Height if base 41 ft from wall? 2. Sketch a model and label known lengths. 3. Choose a theorem or formula: ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Stretch

1. Design problem: ladder 53 ft against wall. Height if base 49 ft from wall? 2. Sketch a model and label known lengths.

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Sketch a diagram with labels

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