Homework Explained - Math Practice 101

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Grade 8 McGraw Hill Glencoe - Answer Keys


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Power Up Performance Task

Can Triangles Model Maps?

Andy is investigating the relationship between triangles and how they can model a city street map. On the graph, one unit is equal to one inch., The grid shows two right triangles. \(\overline{\text{DG}}\cong\overline{\text{CB}}\), m∠D = 54°, and m∠C = 69.4°.

Write your answers on another piece of paper. Show all of your work to receive full credit.

  • Question 1 (request help)

    Part A

    Are the two triangles congruent? Explain your reasoning. What transformation(s) could be used to help determine that the two triangles are congruent?

  • Type below:
  • Question 2 (request help)

    Part B

    The triangle formed by the intersection of Oak Road, Main Street, and Highway 33 is similar to triangle ABC. The section of Main Street between Oak Road and Highway 33 is eight miles long. Based on the information given, what is the length of Oak Road from Main Street north to the intersection of Highway 33? Set up a proportion and solve. Round your answer to the nearest tenth.

  •     miles

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