See Problem 2.

Find the images of the vertices of Δ P Q R cap delta p q r  for a dilation with center (0, 0) and the given scale factor. Graph the image.

16. scale factor 3

    

17. scale factor 10

    

18. scale factor 3 4 3 fourths

    

See Problem 3.

Magnification You look at each object described in Exercises 19–22 under a magnifying glass. Find the actual dimension of each object.

19. The image of a button is 5 times the button's actual size and has a diameter of 6 cm.
20. The image of a pinhead is 8 times the pinhead's actual size and has a width of 1.36 cm.
21. The image of an ant is 7 times the ant's actual size and has a length of 1.4 cm.
22. The image of a capital letter N is 6 times the letter's actual size and has a height of 1.68 cm.

B Apply

A dilation has center (0, 0). Find the image of each point for the given scale factor.

23. L ( − 3 , 0 ) ; 5 l open negative 3 comma 0 close semicolon 5
24. N ( − 4 , 7 ) ; 0.2 n open negative 4 comma 7 close semicolon 0.2
25. A ( − 6 , 2 ) ; 1.5 eh open negative 6 comma 2 close semicolon 1.5
26. F ( 3 , − 2 ) ; 1 3 f open 3 comma negative 2 close semicolon , 1 third
27. B ( 5 4 , − 3 2 ) ; 1 10 b . open . 5 fourths , comma negative , 3 halves . close . semicolon , 1 tenth
28. Q ( 6 , 3 2 ) ; 6 q . open . 6 comma , fraction square root of 3 , over 2 end fraction . close . semicolon square root of 6

Use the graph below. Find the vertices of the image of QRTW for a dilation with center (0, 0) and the given scale factor.

29. 1 4 1 fourth
30. 0.6
31. 0.9
32. 10
33. 100
34. Compare and Contrast Compare the definition of scale factor of a dilation to the definition of scale factor of two similar polygons. How are they alike? How are they different?

35. Think About a Plan The diagram below shows Δ L M N cap delta l m n  and its image Δ L ′ M ′ N ′ cap delta , l prime , m prime , n prime  for a dilation with center P. Find the values of x and y. Explain your reasoning.

    
    Image Long Description

    • What is the relationship between Δ L M N cap delta l m n  and Δ L ′ M ′ N ′ ? cap delta , l prime , m prime , n prime , question mark
    • What is the scale factor of the dilation?
    • Which variable can you find using the scale factor?
36. Writing An equilateral triangle has 4-in. sides. Describe its image for a dilation with center at one of the triangle's vertices and scale factor 2.5.

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