GEO-G.SRT

Geometry - Similarity, Right Triangles, and Trigonometry

GEO-G.SRT.1Verify experimentally the properties of dilations given by a center and a scale factor.GEO-G.SRT.2Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar. Explain using similarity transformations that similar triangles have equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.GEO-G.SRT.3Use the properties of similarity transformations to establish the AA~, SSS~, and SAS~ criterion for two triangles to be similar.GEO-G.SRT.4Prove and apply similarity theorems about triangles.GEO-G.SRT.5Use congruence and similarity criteria for triangles to:GEO-G.SRT.6Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of sine, cosine and tangent ratios for acute angles.GEO-G.SRT.7Explain and use the relationship between the sine and cosine of complementary angles.GEO-G.SRT.8Use sine, cosine, tangent, the Pythagorean Theorem and properties of special right triangles to solve right triangles in applied problems.GEO-G.SRT.9Justify and apply the formula A=(1/2)ab sin (C) to find the area of any triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
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