1. 6.7.1 Perform Similarity Transformations

2.  Remember previous we talked about 3 types of CONGRUENCE transformations, in other words, the transformations performed created congruent figures  Rotation, Reflection, and translation  We also discussed Dilations but not in great detail, now we will

3.  A Dilation is a SIMILARITY transformation, in that by using a scale factor, the transformed object is similar to the original with congruent angles and proportional side lengths.  REDUCTION VS ENLARGEMENT  For k, a scale factor we write (x, y)  (kx, ky)  For 0 < k < 1 the dilation is a reduction  For k > 1 the dilation is an enlargement

4.  Let ABCD have A(2, 1), B(4, 1), C(4, -1), D(1, -1)  Scale factor: 2  Use the distance formula and SSS to verify they are similar

5.  Usually the origin (if not re-orient)  To show two objects are similar, we draw a line from the origin to the object further away, if the line passes through the closer object in the similar vertex then the objects are similar.

6.  p. 412   2, 3, 5, 9, 10, 11, 16 – 18, 19, 35