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Transformation of Plane Figures Lesson Presentation

Learn about translations, rotations, and reflections to transform figures on a coordinate plane. Practice identifying congruent images, vocabulary, and graphing examples.

raymond-kemp
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Transformation of Plane Figures Lesson Presentation

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

  2. Warm Up Determine if the following sets of points form a parallelogram. 1. (–3, 0), (1, 4), (6, 0), (2, –4) yes 2. (1, 2), (–2, 2), (–2, 1), (1, –2) no 3. (2, 3), (–3, 1), (1, –4), (6, –2) yes

  3. Problem of the Day How can you move just one number to a different triangle to make the sum of the numbers in each triangle equal? (Hint: There do not have to be exactly 3 numbers in each triangle.) Move the 9 to the first triangle.

  4. Learn to transform plane figures using translations, rotations, and reflections.

  5. Vocabulary transformation image translation reflection rotation center of rotation

  6. When you are on an amusement park ride, you are undergoing a transformation. A transformationis a change in a figure’s position or size. Translations, rotations, and reflections are types of transformations. The resulting figure, or image, of a translation, rotation, or reflection is congruent to the original figure. A translationslides a figure along a line without turning.

  7. Additional Example 1: Graphing Translations on a Coordinate Plane Graph the translation of triangle ABC 2 units right and 3 units down. Add 2 to the x-coordinate of each vertex, and subtract 3 from the y-coordinate of each vertex. A’ B’ C’

  8. Check It Out: Example 1 Graph the translation of the quadrilateral ABCD 3 units down and 5 units left. Subtract 5 from the x-coordinate of each vertex, and subtract 3 from the y-coordinate of each vertex. A’ B’ C’ D’

  9. A reflectionflips a figure across a line to create a mirror image.

  10. Additional Example 2: Graphing Reflections on a Coordinate Plane Graph the reflection of quadrilateral ABCD across the y-axis. A’ B’ Multiply the x-coordinate of each vertex by –1. C’ D’

  11. Check It Out: Example 2 Graph the reflection of triangle FGH across the x-axis. Multiply the y-coordinate of each vertex by –1. H’ G’ F’

  12. A rotationturns a figure around a point, called the center of rotation.

  13. Additional Example 3: Graphing Rotations on a Coordinate Plane Graph the rotation of triangle ABC 90 counterclockwise about the origin. Multiply the y-coordinate of each vertex by –1, and switch the x and y coordinates. A’ B’ C’

  14. Check It Out: Example 3 Graph the rotation of triangle XYZ 180 about the origin. Multiply the both coordinates by –1. Z’ X’ Y’

  15. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  16. Lesson Quiz Graph each transformation of triangle ABC. 1. translation 4 units down 2. reflection across the y-axis 3. rotation of 180 about the origin

  17. Lesson Quiz for Student Response Systems 1. Give the coordinates of (1, 4) after a translation 3 units up. A. (4, 4) B. (4, 7) C. (–4, –4) D. (–4, –7)

  18. Lesson Quiz for Student Response Systems 2. Give the coordinates of (1, 4) after a reflection across the x-axis. A. (1, 4) B. (–1, –4) C. (1, –4) D. (–1, 4)

  19. Lesson Quiz for Student Response Systems 3. Give the coordinates of (1, 4) after a 90 clockwise rotation around the origin. A. (4, 1) B. (4, –1) C. (1, –4) D. (–4, 1)

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