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Investigating Scale Factors

Investigating Scale Factors. Adapted from Walch Education. Key Concepts. The notation is as follows: D k ( x , y ) = ( kx , ky ). Multiply each coordinate of the figure by the scale factor when the center is at (0, 0). Concepts, continued….

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Investigating Scale Factors

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  1. Investigating Scale Factors Adapted from Walch Education

  2. Key Concepts The notation is as follows: Dk(x, y) = (kx, ky). • Multiply each coordinate of the figure by the scale factor when the center is at (0, 0). 1.1.2: Investigating Scale Factors

  3. Concepts, continued… • The lengths of each side in a figure also are multiplied by the scale factor. • If you know the lengths of the preimage figure and the scale factor, you can calculate the lengths of the image by multiplying the preimage lengths by the scale factor. • The dilation is an enlargement if k > 1, a reduction if 0 < k < 1, and a congruency transformation if k = 1. 1.1.2: Investigating Scale Factors

  4. Let’s Practice • A triangle has vertices G (2, –3), H (–6, 2), and J (0, 4). If the triangle is dilated by a scale factor of 0.5 through center C (0, 0), what are the image vertices? Draw the preimage and image on the coordinate plane. 1.1.2: Investigating Scale Factors

  5. Step 1 Start with one vertex and multiply each coordinate by the scale factor, k. Dk= (kx, ky) 1.1.2: Investigating Scale Factors

  6. Step 2 Repeat the process with another vertex. Multiply each coordinate of the vertex by the scale factor. 1.1.2: Investigating Scale Factors

  7. Step 3 Repeat the process for the last vertex. Multiply each coordinate of the vertex by the scale factor. 1.1.2: Investigating Scale Factors

  8. Step 4 List the image vertices. 1.1.2: Investigating Scale Factors

  9. Step 5 Draw the preimage and image on the coordinate plane. 1.1.2: Investigating Scale Factors

  10. Your turn. What are the side lengths of with a scale factor of 2.5 given the preimage and image to the right and the information that DE = 1, EF = 9.2, and FD = 8.6? 1.1.2: Investigating Scale Factors

  11. Thanks for watching! Ms. Dambreville

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