Rigid Transformations
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| translation | a slide described by length and direction
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| reflection | a flip transformation of an object in a mirror line or reflection line
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| rotation | a transformation in which a figure is turned or rotated about a point
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| centre of rotation | the point around which an object can be rotated
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| dilation | a transformation that changes the size of an object
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| line of symmetry a | mirror line that reflects an object onto itself
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| rotational symmetry | a figure that maps onto itself more than once in a complete turn
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| point symmetry | rotational symmetry of order 2
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| tesselation | an arrangement of shapes that completely covers the plane without overlapping
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| A rigid transformation (also called an isometry) | is a transformation of the plane that preserves length. Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations".
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| A reflection (flip) | is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.
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| A translation (slide) | is called a rigid transformation or isometry because the image is the same size and shape as the pre-image
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| Rotation ( flip) | the point about which the object is rotated can be inside the figure or anywhere outside it.
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| Translation | (x+h, y+k)
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| Reflection across the X- Axis | (x,-y)
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| Reflection across the Y- Axis | (-x,y)
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| Reflection across the Y- Axis | (-x,y)
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| Reflection across y=-x | (-y,-x)
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| 90 degrees counterclockwise or 270 clockwise | (-y,x)
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| 180 degrees both ways | (-x,-y)
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| 270 degrees counterclockwise or 90 clockwise | (y,-x)
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| 4 Types of Transformations | - Rotation
- Reflection
- Translation
- Dilation
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| Translation | A shift of a graph horizontally, vertically, or both, which results in a graph of the same shape and size, but in a different position.
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| Rotation | Turning around an axis or center point.
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| Reflection | A transformation that "flips" a figure over a mirror or reflection line.
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Created by:
garfieldwhitebooi
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