Unit 6 · Similarity and Dilations

Unit 6 — Similarity and Dilations

Explore ratios, proportions, dilations, and similarity criteria — AA, SSS, SAS — and apply proportional reasoning to triangles and real-world indirect measurement.

10 lessons7 learning objectives

Learning Objectives

Goal 1Write and solve proportions.

Goal 2Apply dilation rules in the coordinate plane.

Goal 3Identify similar figures and write similarity statements.

Goal 4Prove triangle similarity using AA, SSS, and SAS.

Goal 5Apply proportionality theorems and the Angle Bisector Theorem.

Goal 6Use right triangle similarity and geometric mean.

Goal 7Solve applied problems using indirect measurement.

Lessons

6.1Ratios, Proportions, and Scale Factors

6.2Dilations in the Coordinate Plane

6.3Similar Figures

6.4AA Triangle Similarity

6.5SSS and SAS Triangle Similarity

6.6Proportional Segments in Triangles

6.7Triangle Proportionality Theorem

6.8Similarity in Right Triangles

6.9Applications of Similarity

6.10Unit 6 Review