To transform something is to change it. In geometry, there are specific ways to describe how a figure is changed. The transformations you will learn about include: Translation Rotation Reflection Dilation

A translation moves an object to a new position. They have: the same shape and size and face in the same direction. Translations are SLIDES.

A rotation is a transformation that turns a figure about a fixed point They have:   the same shape and size, but may be turned in different directions.

The concept of rotations can be seen in wallpaper designs, fabrics, and art work.             Rotations are TURNS!!!

the same shape and size, but A reflection can be seen in water, in a mirror, in glass, or in a shiny surface.  They have: the same shape and size, but they face in opposite directions. 

              Reflections are FLIPS!!!

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation used to create an image larger than the original is called an enlargement.  A dilation used to create an image smaller than the original is called a reduction.

Scale factor The scale factor is how much the figure grows or shrinks If the scale factor is > 1, it is an enlargement If the scale factor is < 1, it is a reduction To find the scale factor -Take the new coordinates or size and divide by the original coordinates or size (only need to do once)

Find the scale factor to go from A to B

Under a dilation of scale factor 3, what will be the new coordinates? If you are given the scale factor and need to find the new coordinates – multiply by the scale factor.                                                Example – Under a dilation of scale factor 3, what will be the new coordinates?

The other part of a dilation is the center of dilation The center of dilation is a fixed point about which all points are expanded or contracted.

To find the center of dilation – connect all the corresponding points and where they intersect is the center of dilation. Example – find the center of dilation Now find the scale factor

How is a dilation different from the other transformations? What is it called when something is the same SHAPE and SIZE? What is it called when something is the same SHAPE but a different SIZE

REVIEW: Answer each question……………………….. Does this picture show a translation, rotation, dilation, or reflection? How do you know? Rotation

Does this picture show a translation, rotation, dilation, or reflection? How do you know? Dilation

Does this picture show a translation, rotation, dilation, or reflection? How do you know? (Line) Reflection

Letters a, c, and e are translations of the purple arrow. Which of the following lettered figures are translations of the shape of the purple arrow?  Name ALL that apply. Explain your thinking. Letters a, c, and e are translations of the purple arrow.

Dutch graphic artist M. C Dutch graphic artist M. C. Escher (1898-1972) is known for his creative use of tessellations in his work. What transformations can you see in this picture? The birds and fish have been translated here.

What transformations can you see in this Escher print? Some birds have been translated and some have been rotated.