Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Tell whether the transformation appears to be an isometry. Explain.

In each diagram, the blue figure is an image of the black figure.

1. Choose an angle or point from the preimage and name its image.
2. List all pairs of corresponding sides.

See Problem 2.

10. 
11. 
12. 
    Image Long Description

See Problem 3.

Copy each graph. Graph the image of each figure under the given translation.

13. ( x , y ) → ( x + 3 , y + 2 ) open x comma y close rightwards arrow . open x plus 3 comma y plus 2 close

    

14. ( x , y ) → ( x + 5 , y − 1 ) open x comma y close rightwards arrow . open x plus 5 comma y minus 1 close

    

15. ( x , y ) → ( x − 2 , y + 5 ) open x comma y close rightwards arrow . open x minus 2 comma y plus 5 close

    

See Problem 4.

The blue figure is a translation image of the black figure. Write a rule to describe each translation.

See Problem 5.

19. Travel You are visiting San Francisco. From your hotel near Union Square, you walk 4 blocks east and 4 blocks north to the Wells Fargo History Museum. Then you walk 5 blocks west and 3 blocks north to the Cable Car Barn Museum. Where is the Cable Car Barn Museum in relation to your hotel?

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