Transformations
Translate(Horizontal, Vertical)
1) What does the "translate" function do to the preimage in order to get the image? In your description, be sure to explain how the "horizontal" and "vertical" parameters are used.
[Note: the explanation can be about explaining the picture that is formed, it does not necessarily have to be about explaining how to find the exact coordinates.]
Rotate(Center of Rotation, Directed Angle)
2) What does the "rotate" function do to the preimage in order to get the image? In your description, be sure to explain how the "center of rotation" and "directed angle" parameters are used.
[Note: the explanation can be about explaining the picture that is formed, it does not necessarily have to be about explaining how to find the exact coordinates.]
Reflect(Line of Reflection)
3) What does the "reflect" function do to the preimage in order to get the image? In your description, be sure to explain how the "line of reflection" parameter is used (the line itself is a single parameter, although you are able to control the slope and y-intercept independently).
[Note: the explanation can be about explaining the picture that is formed, it does not necessarily have to be about explaining how to find the exact coordinates.]
Dilate(Center of Dilation, Scale Factor)
4) What does the "dilate" function do to the preimage in order to get the image? In your description, be sure to explain how the "center of dilation" and "scale factor" parameters are used.
[Note: the explanation can be about explaining the picture that is formed, it does not necessarily have to be about explaining how to find the exact coordinates.]
5) An isometric ("iso-" same, "-metric" measure) transformation is one which preserves measurement, resulting in images that are congruent to their preimages. These are also sometimes called "rigid transformations." Given this definition and your observations, which transformations are ALWAYS isometric?
6) Orientation can be thought of the ordering of the points in a figure (e.g. clockwise or counterclockwise). Some transformations preserve orientation (meaning the preimage and image would have the same orientation), whereas others reverse it. Given this definition, which transformations PRESERVE orientation?