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G-SRT. Similarity, Right Triangles, and Trigonometry

    G-SRT.A. Understand similarity in terms of similarity transformations

      G-SRT.A.1. Verify experimentally the properties of dilations given by a center and a scale factor:

        G-SRT.A.1.a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.

        G-SRT.A.1.b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.

      G-SRT.A.3. Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

    G-SRT.D. Apply trigonometry to general triangles

      G-SRT.D.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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      G-SRT.D.10. Prove the Laws of Sines and Cosines and use them to solve problems.

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      G-SRT.D.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).

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