Discovering Similar Triangles

Discovering Similar Triangles

Learning Objective

Understand the concept of similar triangles and how to identify them.

What do you already know about similar triangles?

What are Similar Triangles?

Similar triangles have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Properties of Similar Triangles

The corresponding angles of similar triangles are congruent, and the corresponding sides are in proportion.

Identifying Similar Triangles

To identify similar triangles, you can use angle-angle similarity, side-angle-side similarity, or side-side-side similarity.

Scale Factor

The ratio of the lengths of the corresponding sides of two similar triangles is called the scale factor.

Applications of Similar Triangles

Similar triangles are used in various real-life scenarios such as map scaling, shadow problems, and indirect measurements.

Solving Problems with Similar Triangles

You can use the properties of similar triangles to solve for unknown side lengths and angles in geometric problems.

Conclusion

After this lesson, you should feel confident in identifying similar triangles and applying their properties to solve problems.

Write down 3 things you learned in this lesson.

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.

Write down 2 things you want to know more about.

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.