CK-12 Geometry Concepts

(Elliott) #1

http://www.ck12.org Chapter 7. Similarity


CHAPTER


7 Similarity


Chapter Outline


7.1 Forms of Ratios


7.2 PROPORTIONPROPERTIES


7.3 SIMILARPOLYGONS ANDSCALEFACTORS


7.4 AA SIMILARITY


7.5 INDIRECTMEASUREMENT


7.6 SSS SIMILARITY


7.7 SAS SIMILARITY


7.8 TRIANGLEPROPORTIONALITY


7.9 PARALLELLINES ANDTRANSVERSALS


7.10 PROPORTIONS WITHANGLEBISECTORS


7.11 DILATION


7.12 DILATION IN THECOORDINATEPLANE


7.13 SELF-SIMILARITY


Introduction


In this chapter, we will start with a review of ratios and proportions. Second, we will introduce the concept of
similarity. Two figures are similar if they have the same shape, but not the same size. We will apply similarity to
polygons, quadrilaterals and triangles. Then, we will extend this concept to proportionality with parallel lines and
dilations. Finally, there is an extension about self-similarity, or fractals, at the end of the chapter.

Free download pdf