Worksheet directions

Grade 8 • Independent Practice • Work on your own. Show your calculations or reasoning where needed.

Sample questions

1. A 7 m by 24 m rectangular path is replaced by a diagonal. What is the shortest distance across? Answer: ___
2. A 9 m by 12 m rectangular path is replaced by a diagonal. What is the shortest distance across? Answer: ___
3. A 20 m by 21 m rectangular path is replaced by a diagonal. What is the shortest distance across? Answer: ___
4. A 12 m by 16 m rectangular path is replaced by a diagonal. What is the shortest distance across? Answer: ___
5. A 10 m by 24 m rectangular path is replaced by a diagonal. What is the shortest distance across? Answer: ___
6. A 8 m by 15 m rectangular path is replaced by a diagonal. What is the shortest distance across? Answer: ___

See the preview for diagrams, answer spaces, and the complete layout.

Common Core connections

Source labels: 8.G.B.6–9, 8.G.C.9. Review the learning goals below to check the fit for your class.

• 8.G.B.7 — Apply the Pythagorean theorem
• 8.G.B.8 — Distance between two points on the plane

Bring it into your lesson

Open this worksheet in Sparkclass to copy it to your Files. Check the resulting layout before sharing it with students.