Defining Similarity
In this lecture, the transformations you have learned about previously are used to define similar shapes. Watch this video and complete the interactive exercises.
Practice
Similarity & transformations - Answers
1. In conclusion, a rectangle is sometimes similar to another rectangle, because we can sometimes map one onto the other using only dilations and rigid transformations.
2. Erin concluded:
"I was able to map line segment onto line segment using a sequence of rigid transformations and dilations, so the figures are similar".
There is no error. This is a correct conclusion.
3. Sabrina concluded:
"I was able to map circle onto circle using a sequence of rigid transformations and a dilation, so the figures are similar".
There is no error. This is a correct conclusion.
4. Konnor concluded:
"The quadrilaterals have four pairs of congruent corresponding angles, so the figures are similar".
It's impossible to map onto using only rigid transformations and dilations, so the figures are not similar.