Similarity and Transformations
Definitions and step by steps.
Transformation- An operation that maps a geometric figure, preimage, onto new figure,image
Dilation- A transformation that enlarges or reduces a figure by a scale factor
Step 1. Count how many square are in the triangles (doesn't matter which triangle you start with) for example)we'll start with the picture above. From D to E there are 2 squares and from B to C there are 4 squares. From E to F there are 2 squares and fro C to A there are 4 squares. From D to F there are 4 squares and from B to A there are 8 squares.
Step 2. Write ratios comparing the lengths of each side.
DE/BC= 2/4 or 1/2
EF/CA= 2/4 or 1/2
DF/BA= 4/8 or 1/2
Since the ratios are equal, BAC is the dilated image of DFE. So, the two triangles are similar because a translation and a dilation maps DFE onto BAC