Lesson: Similarity of Polygons Mathematics

In this lesson, we will learn how to identify and prove the similarity of polygons, write the order of the corresponding vertices, and use the similarity to solve problems.

Lesson Plan

Students will be able to

identify similar polygons by checking that their corresponding angles are congruent and their corresponding sides are proportional,
identify corresponding vertices in similar polygons and write them in order,
find the scale factor between two similar polygons and use it to find missing lengths,
solve problems using similarity.

Lesson Worksheet

Q1:

Given that , determine the length of .

Q2:

A polygon has sides 2, 4, 3, 8, and 4. A second similar polygon has perimeter 31.5. What are its sides?

Q3:

Consider two similar polygons and . Which angle in corresponds to ?