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8-6 Dilations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

8-6 Dilations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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  • Slide 1
  • 8-6 Dilations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes
  • Slide 2
  • 8-6 Dilations Warm Up x = 12x = 2.5 Solve. 1. 2.
  • Slide 3
  • 8-6 Dilations Problem of the Day Missy ate one-fourth of a fruit salad and Kim ate one-eighth of the fruit salad. What fraction of the fruit salad remains?
  • Slide 4
  • 8-6 Dilations MA.7.G.4.2 Predict the results of transformations and draw transformed figures, with and without the coordinate plane. Sunshine State Standards
  • Slide 5
  • 8-6 Dilations A dilation is a transformation that changes the size, but not the shape, of a figure. After a dilation, the image of a figure is similar to the preimage.
  • Slide 6
  • 8-6 Dilations Tell whether each transformation is a dilation. The figures are not similar, so the transformation is not a dilation. Additional Example 1A: Identifying Dilations
  • Slide 7
  • 8-6 Dilations Tell whether each transformation is a dilation. The figures are similar, so the transformation Is a dilation. Additional Example 1B: Identifying Dilations
  • Slide 8
  • 8-6 Dilations Tell whether each transformation is a dilation. The figures are similar, so the transformation is a dilation. Check It Out: Example 1A A D C B A DC B 5 cm 3 cm 6 cm 10 cm
  • Slide 9
  • 8-6 Dilations Tell whether each transformation is a dilation. The figures are not similar, so the transformation is not a dilation. Check It Out: Example 1B 13 yd 12 yd 5 yd 6 yd X z YY X z Y
  • Slide 10
  • 8-6 Dilations Similar figures have the same shape but not necessarily the same size. Remember!
  • Slide 11
  • 8-6 Dilations Additional Example 2: Using Dilation to Enlarge a Figure Draw the vertices of the image of ABC after a dilation by a scale factor of 2. What are the vertices of the image? Write the coordinates of the vertices of ABC. Then multiply the coordinates by 2 to find the coordinates of the vertices of A'B'C'.
  • Slide 12
  • 8-6 Dilations Additional Example 2 Continued A(0, 0) A(0 2, 0 2) A(0, 0) B(1, 2) B(1 2, 2 2) B(2, 4) C(3, 1) C(3 2, 1 2) C(6, 2) ABC ABC The vertices of the image are A(0, 0), B(2, 4), and C(6, 2).
  • Slide 13
  • 8-6 Dilations Additional Example 2 Continued
  • Slide 14
  • 8-6 Dilations Check It Out: Example 2A Find the vertices of the image of each figure after a dilation by the given scale factor. Then draw the image. R' (0, 12), S' (12, 6), T' (6, 3) Scale factor 3
  • Slide 15
  • 8-6 Dilations Check It Out: Example 2B Find the vertices of the image of each figure after a dilation by the given scale factor. Then draw the image. A' (4, 10), B' (10, 10),C' (10, 4), D' (4, 4) Scale factor 2
  • Slide 16
  • 8-6 Dilations Additional Example 3: Using a Dilation to Reduce a Figure Draw the image of DEF after a dilation by a scale factor of. Then draw the image. 1313 The vertices of the image are D(1, 1), E(2, 2), and F(3, 1). DEF DEF D(3, 3) D(3 , 3 ) D(1, 1) 1313 1313 E(6, 6) E(6 , 6 ) E(2, 2) 1313 1313 F(9, 3) F(9 , 3 ) F(3, 1) 1313 1313 Write the coordinates of the vertices of DEF. The multiply the coordinates by 1/3 to find the coordinates of the vertices of DEF'.
  • Slide 17
  • 8-6 Dilations Check It Out: Example 3A Find the vertices of the image of each figure after a dilation by the given scale factor. Then draw the image. Scale factor 1313 A' (1, 2), B' (1, 4),C' (3, 4),D' (3, 2)
  • Slide 18
  • 8-6 Dilations Check It Out: Example 3B Find the vertices of the image of each figure after a dilation by the given scale factor. Then draw the image. Scale factor 1414 D' (1, 2), E' (2, 3), F' (3, 2)
  • Slide 19
  • 8-6 Dilations Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems
  • Slide 20
  • 8-6 Dilations Lesson Quiz Tell whether the transformation is a dilation. 1. yes 2. Find the vertices of the image of ABC after a dilation of a scale factor of 2. Then draw the image. A'(2, 4), B'(4, 6), C'(8, 0)
  • Slide 21
  • 8-6 Dilations 1. Tell whether the transformation is a dilation. A. dilation B. not a dilation Lesson Quiz for Student Response Systems
  • Slide 22
  • 8-6 Dilations 2. Tell whether the transformation is a dilation. A. dilation B. not a dilation Lesson Quiz for Student Response Systems