G-SRT.6

High school · High School: Geometry — Similarity, Right Triangles, & Trigonometry

Understand 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.

Official code: CCSS.MATH.CONTENT.HSG-SRT.6
Short code: G-SRT.6
Subject: Mathematics
Grade: High school
Domain: High School: Geometry — Similarity, Right Triangles, & Trigonometry

More High school High School: Geometry — Similarity, Right Triangles, & Trigonometry standards

G-SRT.1 Verify experimentally the properties of dilations given by a center and a scale factor: G-SRT.10 10. (+) Prove the Laws of Sines and Cosines and use them to solve problems. G-SRT.11 11. (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown... G-SRT.1a A dilation takes a line not passing through the center of the dilation to a parallel... G-SRT.1b The dilation of a line segment is longer or shorter in the ratio given by the scale factor. G-SRT.2 Given two figures, use the definition of similarity in terms of similarity... G-SRT.3 Use the properties of similarity transformations to establish the AA criterion for two... G-SRT.4 Prove theorems about triangles. G-SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove... G-SRT.7 Explain and use the relationship between the sine and cosine of complementary angles. G-SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in... G-SRT.9 (+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an...

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