Module 3

This course is a part of 8th grade (Eureka Math/EngageNY), a 7-course Topic series from Khan Academy.

"The experimental study of rotations, reflections, and translations in Module 2 prepares students for the more complex work of understanding the effects of dilations on geometrical figures in their study of similarity in Module 3. They use similar triangles to solve unknown angle, side length and area problems. Module 3 concludes with revisiting a proof of the Pythagorean Theorem from the perspective of similar triangles. " Eureka Math/EngageNY (c) 2015 GreatMinds.org

This course contains 3 segments:

Topic A: Dilation

Topic A includes lessons 1-7 and covers what lies behind “same shape”?, properties of dilations, examples of dilations, fundamental theorem of similarity (FTS), first consequences of FTS, and dilations on the coordinate plane. (Currently, we do not have content for Lessons 4 and 5.)

Topic B: Similar figures

Topic B includes lessons 8-12 and covers similarity, basic properties of similarity, informal proof of AA criterion for similarity, more about similar triangles, and modeling using similarity.

Topic C: The Pythagorean theorem

Topic C includes lessons 13-14 and covers proof of the Pythagorean theorem and the converse of the Pythagorean theorem.