There are many ways to define similarity. some definitions allow congruent figures to also be similar, while others do not. Examine the following definitions for similar figures.
1. figures that are the same shape but not necessarily the same size
2. figures that are the result of a similarity transformation (including rigid transformations)
Notice that both of these definitions allow congruent figures to also be called similar.
1. Write your own definition for similarity that does not allow congruent figures to also be called similar.
2. How does this definition for similarity relate to rigid transformations, dilations, and scale factors?
a. Explain whether rigid transformations would be considered similarity transformations.
b. Explain what dilations and scale factors would be considered similarity transformations.
6 answers