Students will learn that two figures are similar if they're the same shape, but not necessarily the same size. This should be contrasted with congruence, which requires both the same shape and size. Students should also learn that two figures can be proven similar by finding a series of rigid transformations and dilations that maps one figure onto the other. After that, students should learn that the similarity relation is transitive. Conclude by giving your students these puzzles.
Conclude by giving your students these challenges:
- Oh! Hidden Inside? by NRICH
- 2006 AMC 8, Problem 15
- Book Fair Money by Pierce School: Problem / Solution
Shape Draw by NRICH: Solve this problem mentally.