G-SRT

Similarity, Right Triangles, and Trigonometry

G-SRT.1Verify experimentally the properties of dilations given by a center and a scale factor:G-SRT.10(+) Prove the Laws of Sines and Cosines and use them to solve problems.G-SRT.11(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).G-SRT.2Given two figures, use the definition of similarity in terms of transformations to explain whether or not they are similar.G-SRT.3Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.G-SRT.4Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely.G-SRT.5Apply congruence and similarity properties and prove relationships involving triangles and other geometric figures.G-SRT.6Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.G-SRT.7Explain and use the relationship between the sine and cosine of complementary angles.G-SRT.8Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.G-SRT.9(+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
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