http://www.ck12.org Chapter 7. Similarity
or another field that interests you.Summary
This chapter is all about proportional relationships. It begins by introducing the concept of ratio and proportion and
detailing properties of proportions. It then focuses on the geometric relationships of similar polygons. Applications
of similar polygons and scale factors are covered. The AA, SSS, and SAS methods of determining similar triangles
are presented and the Triangle Proportionality Theorem is explored. The chapter wraps up with the proportional
relationships formed when parallel lines are cut by a transversal, similarity and dilated figures, and self-similarity.
Chapter Keywords
- Ratio
- Proportion
- Means
- Extremes
- Cross-Multiplication Theorem
- Similar Polygons
- Scale Factor
- AA Similarity Postulate
- Indirect Measurement
- SSS Similarity Theorem
- SAS Similarity Theorem
- Triangle Proportionality Theorem
- Triangle Proportionality Theorem Converse
- Transformation
- Rigid Transformation
- Non-rigid Transformation
- Dilation
- Self-Similar
- Fractal
Chapter Review
- Solve the following proportions.
a. x+ 33 =^102
b.^85 =^2 xx+− 31- The extended ratio of the angle in a triangle are 5:6:7. What is the measure of each angle?
- Rewrite 15 quarts in terms of gallons.
Determine if the following pairs of polygons are similar. If it is two triangles, writewhythey are similar.