Practice and Problem-Solving Exercises

A Practice

See Problem 1.

The figures in each pair are similar. Identify the corresponding sides and angles.

6. △ A B C ~ △ D E F white up pointing triangle eh b c tilde white up pointing triangle d e f

   

7. F G H I ~ K L M N f g h i tilde k l m n

   

The figures in each pair are similar. Find the missing length.

8. 
9. 
10. 
11. 

    See Problem 2.

12. Bridges In the diagram of the park, △ A D F ~ △ B C F . white up pointing triangle eh d f tilde white up pointing triangle b c f .  The crosswalk at point A is about 20 yd long. A bridge across the pond will be built, from point B to point C. What will the length of the bridge be?

    
    Image Long Description

See Problem 3.

The scale of a map is 1 cm : 15 km. Find the actual distance corresponding to each map distance.

13. 2.5 cm
14. 0.2 cm
15. 15 cm
16. 4.6 cm

    See Problem 4.

17. Movies A professional model-maker is building a giant scale model of a house fly to be used in a science fiction film. An actual fly is about 0.2 in. long with a wingspan of about 0.5 in. The model fly for the movie will be 27 ft long. What will its wingspan be?
18. Maps Abbottsville and Broken Branch are 175 mi apart. On a map, the distance between the two towns is 2.5 in. What is the scale of the map?

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