# Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

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Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

Warm Up Solve. 1. 2. x = 12 x = 2.5 2

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? 3

Sunshine State Standards
MA.7.G.4.2 Predict the results of transformations and draw transformed figures, with and without the coordinate plane.

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.

Tell whether each transformation is a dilation. The figures are not similar, so the transformation is not a dilation.

Tell whether each transformation is a dilation. The figures are similar, so the transformation Is a dilation.

Tell whether each transformation is a dilation.
Check It Out: Example 1A Tell whether each transformation is a dilation. A B A’ B’ 3 cm 6 cm C’ D’ 5 cm D C 10 cm The figures are similar, so the transformation is a dilation.

Tell whether each transformation is a dilation.
Check It Out: Example 1B Tell whether each transformation is a dilation. Y X’ 13 yd 6 yd 6 yd 5 yd X z z’ 6 yd Y’ 12 yd The figures are not similar, so the transformation is not a dilation. 9

Similar figures have the same shape but not necessarily the same size.
Remember!

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'.

A’B’C’ ABC 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) The vertices of the image are A’(0, 0), B’(2, 4), and C’(6, 2).

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. Scale factor 3 R' (0, 12), S' (12, 6), T' (6, 3)

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. Scale factor 2 A' (4, 10), B' (10, 10),C' (10, 4), D' (4, 4)

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. 1 3 Write the coordinates of the vertices of DEF. The multiply the coordinates by 1/3 to find the coordinates of the vertices of D‘E‘F'. D’E’F’ DEF D(3, 3) D’(3  , 3  ) D’(1, 1) 1 3 E(6, 6) E’(6  , 6  ) E’(2, 2) 1 3 F(9, 3) F’(9  , 3  ) F’(3, 1) 1 3 The vertices of the image are D’(1, 1), E’(2, 2), and F’(3, 1).

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. 1 3 Scale factor A' (1, 2), B' (1, 4),C' (3, 4),D' (3, 2)

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. 1 4 Scale factor D' (1, 2), E' (2, 3), F' (3, 2)

Lesson Quiz for Student Response Systems
Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems 19

Tell whether the transformation is a dilation. 1.
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) 20

Lesson Quiz for Student Response Systems
1. Tell whether the transformation is a dilation. A. dilation B. not a dilation 21

Lesson Quiz for Student Response Systems
2. Tell whether the transformation is a dilation. A. dilation B. not a dilation 22

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