Solve a shortest-path problem — Review — page 1
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Solve a shortest-path problem — Review — page 2
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Worksheet directions

Grade 8 • Review • Choose a strategy for each problem. Explain or check your thinking where requested.

Sample questions

  1. A 10 m by 24 m rectangular path is replaced by a diagonal. What is the shortest distance across? Answer: ___
  2. A 7 m by 24 m rectangular path is replaced by a diagonal. What is the shortest distance across? Answer: ___
  3. A 9 m by 12 m rectangular path is replaced by a diagonal. What is the shortest distance across? Answer: ___
  4. A 20 m by 21 m rectangular path is replaced by a diagonal. What is the shortest distance across? Answer: ___
  5. A 12 m by 16 m rectangular path is replaced by a diagonal. What is the shortest distance across? Answer: ___
  6. A 11 m by 60 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

Review the preview and question content above. Open the resource in Sparkclass to copy it to your Files and use it in your workspace. Check the resulting layout before sharing it with students.

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More practice for this learning goal