Chapter 9: Transformations

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Presentation transcript:

Chapter 9: Transformations 9.5 Dilations

Dilations transformation whose preimage and image are similar (not same size) not an isometry! every dilation has a center and a scale factor

Dilations enlargement: reduction: scale factor > 1 scale factor between 0 and 1

Example 1 The blue triangle is a dilation image of the red triangle. Describe the dilation.

Example 1a The blue quadrilateral is a dilation image of the red quadrilateral. Describe the dilation.

Example 2 The packaging lists a model car’s length as 7.6 cm. It also gives the scale as 1:63. What is the length of the actual car?

Example 2a The height of a tractor-trailer truck is 4.2 m. The scale factor for a model of the truck is 1/54. Find the height of the model to the nearest centimeter.

Example 3 ΔPZG has vertices P(2,0), Z(-1,1/2), and G(1,-2). What are the coordinates of the image of P for a dilation with center (0,0) and scale factor 3?

Example 3a ΔPZG has vertices P(2,0), Z(-1,1/2), and G(1,-2). What are the coordinates of the image of P for a dilation with center (0,0) and scale factor 1/2 .

Homework p. 500 2-24 even **might want graph paper!**