Tuesday, November 22, 2022

Springboard Mathematics Geometry Unit 3 Similarity And Trigonometry

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Geometry Honors: Similarity And Trigonometry Semester 1 Unit : Activity 17

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1 Resources: SpringBoard- Geometry Online Resources: Springboard Geometry Unit 3 Vocabulary Dilation Center of Dilation Similarity Transformation Similar Indirect Measurement Triangle Proportionality Parallel Proportionality Right Angle Altitude Geometric Mean Pythagorean Pythagorean Triple Opposite Leg Adjacent Leg Trigonometric Ratio Sine Cosine Tangent Inverse Trigonometric Function Law of Sines Law of Cosines Triangulation Geometry Honors: Similarity and Trigonometry Semester 1, Unit 3: Activity 17 Unit Overview In this unit, students will study special right triangles and right triangle trigonometry. You will also study similarity transformations and similarity in polygons. Student Focus Main Ideas for success in lessons 17-1, 17-2, and 17-3: Perform dilations on and off the coordinate plane. Describe dilations. Understand the meaning of similarity transformations. Use similarity transformations to determine whether figures are similar. Identify properties of similar figures. Apply properties of similar figures. Page 1 of 41

2 Example 17-1: A graphic artist has enlarged a rectangular photograph using a scale factor of 4. The perimeter of the enlargement is 144 in. What is the perimeter of the original photograph? 36 in. A photographer enlarged a picture. If the width of the image is inches and the width of the pre-image was x, what is the scale factor for the dilation In terms of x? Page 2 of 41

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