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Translations

Translations. I can : Define and identify translations. Understand prime notation to describe an image after a translation. I can describe the changes occurring to the x and y coordinates of a figure after a translation. Vocabulary : Transformations Translations Congruent Figures

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Translations

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  1. Translations I can: • Define and identify translations. • Understand prime notation to describe an image after a translation. • I can describe the changes occurring to the x and y coordinates of a figure after a translation. Vocabulary: • Transformations • Translations • Congruent Figures • Parallel lines

  2. Transformations change the position of a shape on a coordinate plane. *What that really means is that a shape is moving from one place to another.

  3. Translation (Slide) The action of sliding a figure in any direction. *We use an arrow to represent the direction of the slide.

  4. A translation does not need to be in a vertical or horizontal direction. • It can also be in a diagonal direction.

  5. Translation on Lines • The size stays the same, the object is just slid to a new location. • The lines are considered parallel lines- lines are parallel if they lie in the same plane, and are the same distance apart over their entire length.

  6. Translation on Angles • The angle degree stays the same, the angle is just slid to a new location.

  7. Coordinate Plane A translation across the y-axis

  8. Coordinate Plane A translation across the x-axis

  9. Reflections I can: • Define and identify reflections. • Understand prime notation to describe an image after reflection. • Identify lines of reflection. • I can describe the changes occurring to the x and y coordinates of a figure after a reflection. Vocabulary: • Reflections • Line of Reflection • Line of Symmetry

  10. Reflection (Flip) A transformation representing a flip of a figure over a point, line, or plane.

  11. A reflection creates a mirror image of the original figure. • The original figure and its image are congruent.

  12. Line of Reflection A line in which you reflect a figure over.

  13. Line of Symmetry A line that can be drawn through a plane figure so that the figure on one side is the reflection image of the figure on the opposite side.

  14. Reflection of Lines • The size stays the same, the object is just the mirror image of itself.

  15. Reflection of Angles • The angle degree stays the same, the angle is just the mirror image of the original angle.

  16. Horizontal flip: • Vertical flip:

  17. Coordinate Plane A reflection across the y-axis RULE: (x, y)  (-x, y)

  18. Coordinate Plane A reflection across the x-axis RULE: (x, y)  (x, -y)

  19. Rotations I can: • Define and identify rotations. • Identify corresponding sides. • Understand prime notation to describe an image after a rotation. • Identify center of rotation. • Identify direction and degrees of a rotation. Vocabulary: • Rotations • Angle of Rotation • Center of Rotation

  20. Rotations (Turns) A transformation in which a figure is rotated about a point called the center of rotation.

  21. Angle of Rotation The number of degrees a figure rotates. 90 Degree Turn

  22. Center of Rotation The point in which a figure is rotated.

  23. Clockwise Rotations • 90 Degree Rotation: • 180 Degree Rotation:

  24. Counter-Clockwise Rotations • 90 Degree Rotation: • 180 Degree Rotation:

  25. Rotations of Lines • A line that rotates remains the same length, but will not necessarily remain parallel. Same length; rotated 90 degrees clockwiseLines are not parallel

  26. Rotations of Angles • Angles that are rotated will remain the same degree measure. Same degree measure; rotated 90 degrees counter-clockwise

  27. Rotation 180 Degree Clockwise Rotation

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