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Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. Warm Up Find the supplement of each angle. 1. 35° 2. 95°. 145°. 85°. Problem of the Day Imagine that each figure is folded so that point A lies on point B. What figures would be formed?. trapezoid, right triangle.

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Warm Up

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

  2. Warm Up Find the supplement of each angle. 1. 35° 2. 95° 145° 85°

  3. Problem of the Day Imagine that each figure is folded so that point A lies on point B. What figures would be formed? trapezoid, right triangle

  4. Learn to use translations, reflections, and rotations to transform geometric shapes.

  5. Vocabulary transformation translation rotation reflection line of reflection

  6. A rigid transformation moves a figure without changing its size or shape. So the original figure and the transformed figure are always congruent. A translation is the movement of a figure along a straight line. A rotationis the movement of a figure around a point. A point of rotation can be on or outside a figure. When a figure flips over a line, creating a mirror image, it is called a reflection. The line the figure is flipped over is called line of reflection.

  7. Additional Example 1A: Identifying Transformations Tell whether each is a translation, rotation, or reflection. The figure is flipped over a line. It is a reflection.

  8. Additional Example 1B: Identifying Transformations Tell whether each is a translation, rotation, or reflection. The figure is moved along a line. It is a translation.

  9. Additional Example 1C: Identifying Transformations Tell whether each is a translation, rotation, or reflection. The figure moves around a point. It is a rotation.

  10. Check It Out: Example 1A Tell whether each is a translation, rotation, or reflection. The figure is flipped over a line. It is a reflection.

  11. Check It Out: Example 1B Tell whether each is a translation, rotation, or reflection. The figure moves around a point. It is a rotation.

  12. Check It Out: Example 1C Tell whether each is a translation, rotation, or reflection. The figure is moved along a line. It is a translation.

  13. A full turn is a 360° rotation. So a turn is 90°, and a turn is 180°. 1 __ 4 1 __ 2 360° 90° 180°

  14. Additional Example 2A: Drawing Transformations Draw each transformation. Draw a 180° rotation about the point shown. Trace the figure and the point of rotation. Place your pencil on the point of rotation. Rotate the figure 180°. Trace the figure in its new location.

  15. Additional Example 2B: Drawing Transformations Draw each transformation. Draw a horizontal reflection. Trace the figure and the line of reflection. Fold along the line of reflection. Trace the figure in its new location.

  16. Check It Out: Example 2A Draw each transformation. Draw a 180° rotation about the point shown. Trace the figure and the point of rotation. Place your pencil on the point of rotation. Rotate the figure 180°. Trace the figure in its new location.

  17. Check It Out: Example 2B Draw each transformation. Draw a horizontal reflection. Trace the figure and the line of reflection. Fold along the line of reflection. Trace the figure in its new location.

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

  19. 1. Tell whether the figure is translated, rotated, or reflected. 2. Draw a vertical reflection of the first figure in problem 1. Lesson Quiz rotated

  20. Lesson Quiz for Student Response Systems 1. Identify the transformation of the figure. A. translation B. reflection C. rotation D. none

  21. Lesson Quiz for Student Response Systems 2. Identify the horizontal reflection of the figure. A. B. C. D.

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