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Main Idea/Vocabulary

Graph dilations on a coordinate plane. dilation. center enlargement reduction. Main Idea/Vocabulary. Copy polygon PQRS on graph paper. Then draw the image of the figure after a dilation with center S by a scale factor of. Draw a Dilation. Example 1. Step 2. Draw a Dilation.

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Main Idea/Vocabulary

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  1. Graph dilations on a coordinate plane. • dilation • center • enlargement • reduction Main Idea/Vocabulary

  2. Copy polygon PQRS on graph paper. Then draw the image of the figure after a dilation with center S by a scale factor of Draw a Dilation Example 1

  3. Step 2 Draw a Dilation Step 1 Use segment SP to locate point P'. Step 3 Repeat Steps 1 and 2 for points Q'and R'. Be sure to draw segment SQ before locating point Q'. Then draw polygon P' Q' R' S', where S = S'. Example 1

  4. A B C D A. B. C. D. Copy polygon ABCD on graph paper. Then draw the image of the figure after a dilation with center A by a scale factor of 2. Example 1

  5. To find the vertices of the dilation, multiply each coordinate in the ordered pairs by . The graph both images on the same axes. Graph a Dilation Example 2

  6. Graph a Dilation Example 2

  7. Graph a Dilation Answer: Check Draw lines through the origin and each of the vertices of the original figure. The vertices of the dilation should lie on those same lines. Example 2

  8. Example 2

  9. A B C D A. B. C. D. Interactive Lab:Dilations Example 2

  10. Find and Classify a Scale Factor In the figure, segment X′Y′ is a dilation of segment XY. Find the scale factor of the dilation, and classify it as an enlargement or as a reduction. Example 3

  11. Find and Classify a Scale Factor Write a ratio of the x- or y-coordinate of one vertex of the dilation to the x- or y-coordinateof the corresponding vertex of the original figure. Use the y-coordinates ofX(–4, 2) and X'(–2, 1). Answer: Example 3

  12. A B C D A. 3; enlargement B. 2; enlargement C. D. In the figure, segment A′B′ is a dilation of segment AB. Find the scale factor of the dilation, and classify it as an enlargement or as a reduction. Example 3

  13. Example 4

  14. Words Variable Equation Example 4

  15. Write the equation. Multiply. Answer: His pupil will be 9 millimeters in diameter once dilated. Example 4

  16. A B C D A. 10 mm B. 11 mm C. 12 mm D. 14 mm Example 4

  17. A B C D 16 7 8 4 5 10 (over Lesson 4-7) Determine whether the pair of polygons is similar. Explain your reasoning. A. Yes; corresponding sides are not proportional. B. Yes; corresponding sides are proportional. C. No; corresponding sides are not proportional. D. No; corresponding sides are proportional. Five Minute Check 1

  18. A B C D The pair of polygons is similar.Write a proportion to find themissing measure and solve. A. B. C. D. (over Lesson 4-7) Five Minute Check 2

  19. A B C D A. B. C. D. (over Lesson 4-7) A greeting card is 8 inches by 6 inches, but it will have to be cut to fit in an envelope. The scale factor from the original card to the smaller card is 5:4. Find the dimensions of the smaller card. Five Minute Check 3

  20. End of Custom Shows

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