G-SRT: Geometry - Similarity, Right Triangles, and Trigonometry

Geometry - Similarity, Right Triangles, and Trigonometry

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Similarity defines proportional relationships between figures through dilation, leading to the AA, SAS, and SSS criteria. Right triangle trigonometry introduces sine, cosine, and tangent as ratios. The Law of Sines and Cosines applies these tools to non-right triangles.

G-SRT.AUnderstand similarity in terms of similarity transformations.G-SRT.BProve theorems involving similarity.G-SRT.CDefine trigonometric ratios and solve problems involving right triangles.G-SRT.DApply trigonometry to general triangles.
Example Problems
Polygon A has an area of square units. Beth drew a scaled version of Polygon A and labeled it Polygon B. Polygon B has an area of square units.
What
scale factor did Beth use to go from Polygon A to Polygon B?
Polygon Y has an area of 11 square units. Celia drew a scaled version of Polygon Y using a scale factor of 3 and labeled it Polygon Z.
What is the
area of Polygon Z?
A ‑foot ladder leans against a vertical wall. The base of the ladder is feet from the wall.
How high up the wall does the ladder reach?
Polygon V has an area of square unit. Jun-seo drew a scaled version of Polygon V using a scale factor of and labeled it Polygon W.
What is the
area of Polygon W?
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