1. Module 6

1.15. Page 5

Mathematics 10-3 Module 6 Lesson 3

Module 6: Triangles and Other Polygons

 

Lesson Summary

 

This is a photograph of pickup sticks scattered on a black surface.

© Marcel Jancovic/shutterstock

Have you ever played pickup sticks? The sticks in the photograph, scattered on the dark surface, form a variety of geometric shapes. These shapes include various triangles. Can you identify any similar triangles, the focus of this lesson?

 

In this lesson you explored thee following questions:

  • How can you identify similar triangles and apply the relationships among them to solve everyday problem situations?

  • Why are two right triangles with a shared acute angle similar?

Check your level of understanding of the materials covered in this lesson by completing “Lesson 3 Traffic Lights.” If you select an amber or red traffic light in the multimedia piece, you will receive information about additional work you can complete to improve your understanding of the topics. Complete the suggested work before you proceed to the Lesson 3 Assignment. If you experience difficulty, contact your teacher before starting the Lesson 3 Assignment.

 

To answer these questions, you explored three methods for assessing whether or not two triangles are similar. Two triangles are similar if

  • the corresponding angles are congruent

  • the corresponding sides are proportional

  • one pair of angles are congruent and the two pairs of corresponding sides, which form those angles, are proportional

Assignment

 

Retrieve the Lesson 3 Assignment Booklet you saved in your course folder at the start of this lesson. Complete the Assignment. Resave your Assignment Booklet in your course folder and submit a copy to your teacher for assessment.

 

Unit 3 Project

 

In the first two lessons you found similar polygons as you looked at your Unit 3 Project topic. Are any of these polygons triangles? Are you able to find the angles of these triangles? Could you build side ratios for any similar triangles in your topic? Save any sketches and notes to your course folder for use in your project presentation. For more information about this step and later steps of the Unit 3 Project, refer to the Unit 3 Project.