HS.G-SRT

HS.G-SRT

HS.G-SRT.1Verify experimentally the properties of dilations given by a center and a scale factor.HS.G-SRT.10(+)Solve unknown sides and angles of non-right triangles using the Laws of Sines and Cosines.HS.G-SRT.11(+)Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in context.HS.G-SRT.2Given two figures, use transformations to decide if they are similar. Apply the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.HS.G-SRT.3Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.HS.G-SRT.4Prove similarity theorems about triangles.HS.G-SRT.5Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.HS.G-SRT.6Understand how the properties of similar right triangles allow the trigonometric ratios to be defined, and determine the sine, cosine, and tangent of an acute angle in a right triangle.HS.G-SRT.7Explain and use the relationship between the sine and cosine of complementary angles.HS.G-SRT.8Use special right triangles (30-60а-90 and 45а-45-90а), trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.HS.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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