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Similar Triangles – Finding Distances Mr. Anwar’s class went to Bevort Pond for a picnic. Darnell, Angie, and Trevor wanted to find the distance across the pond. Darnell and Angie suggested that Trevor swim across with the end of a tape measure in his mouth. Trevor declined – the water was very cold! They decided to try to use what they had learned about similar triangles to find the distance across the pond. They drew a diagram and started making the necessary measurements. A. Name the two similar triangles in the diagram. B. What is the scale factor from the large triangle to the small triangle? C. What is the distance across the pond (measured along the dotted line)? D. Is the large triangle Darnell, Angie, and Trevor measured the only one that will work to find the distance across the pond? Why or why not? Similar Triangles – Finding Distances 1. a. In the figure below, identify the similar triangles. b. Name all of the corresponding sides for the similar triangles you found. c. Name all pairs of corresponding angles for the similar triangles you found. 2. What is the distance across the gravel pit shown in the drawing?
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