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Standards/Math/Indiana/G.T

G.T

G Geometry
G.CI
G.GF
G.QP
G.T
G.T.1G.T.2G.T.3G.T.4G.T.5G.T.6G.T.7
G.TS

Triangles

G.T.1Prove and apply theorems about triangles, including:G.T.2Prove and apply criteria for triangle congruence (ASA, SAS, AAS, SSS, and HL) from the definition of congruence in terms of rigid motions. (E)G.T.3Use the definition of similarity in terms of similarity transformations to determine if two given triangles are similar. Explore and develop the meaning of similarity for triangles.G.T.4Use congruent and similar triangles to solve real-world and mathematical problems involving sides, perimeters, and areas of triangles. (E)G.T.5Understand 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.T.6Use trigonometric ratios (sine, cosine, tangent, and their inverses) and the Pythagorean Theorem to solve real-world and mathematical problems involving right triangles. (E)G.T.7Use the relationship between the sides of special right triangles (30° - 60° and 45° - 45°) to solve real-world and other mathematical problems. (E)
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