Aim: How do we review transformations?

There are four types of transformations. Reflection,translation,rotation,and dialation.
A translation "slides" an object a fixed distance in a given direction.  The original object and its translation have the same shape and size, and they face in the same direction.  A translation creates a figure that is congruent with the original figure and preserves distance (length) and orientation (lettering order).  A translation is a direct isometry.

Properties preserved (invariant) under a translation:1.  distance (lengths of segments are the same)
2.  angle measures (remain the same)
3.  parallelism (parallel lines remain parallel)
4.  colinearity (points stay on the same lines)
5.  midpoint (midpoints remain the same in each figure)
6.  orientation (lettering order remains the same)


Reflection: Figure is flipped over a line of symetry.
Properties preserved (invariant) under a line reflection:1.  distance (lengths of segments are the same)
2.  angle measures (remain the same)
3.  parallelism (parallel lines remain parallel)
4.  colinearity (points stay on the same lines)
5.  midpoint (midpoints remain the same in each figure)
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Rotation: When a figure is turned around a single point.

Properties preserved (invariant) under a rotation:1.  distance is preserved (lengths of segments are the same)
2.  angle measures (remain the same)
3.  parallelism (parallel lines remain parallel)
4.  colinearity (points stay on the same lines)
5.  midpoint (midpoints remain the same in each figure)
6.  orientation (lettering order remains the same)

Rotation of 90°:
Rotation of 180°:	(same as point reflection in origin)
Rotation of 270°:

A dilation is a transformation (notation ) that produces an image that is the same shape as the original, but is a different size.   A dilation stretches or shrinks the original figure.    

Properties preserved (invariant) under a dilation:1.  angle measures (remain the same)
2.  parallelism (parallel lines remain parallel)
3.  colinearity (points stay on the same lines)
4.  midpoint (midpoints remain the same in each figure)5.  orientation (lettering order remains the same)
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6.  distance is NOT preserved (NOT an isometry)
     (lengths of segments are NOT the same in all cases
      except a scale factor or 1.)

Question: What is the image of (5,6) after reflection on y-axis?