Section outline

  • Description of Unit:  This topic explores similarity.  Students will form proportions based on known lengths of corresponding sides; and use AA,SAS, and SSS similarity postulate and theorems.

    Key Vocabulary:  extremes of a proportion, geometric mean, means of a proportion, proportion, ratio, scale factor, similar.

    Common Core Content Standards:

    G-CO.D.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).

    G-GPE.B.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problem (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

    G-SRT.B.4 Prove theorems about triangles.

    G-SRT.B.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.