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Independent Practice: MORE SIMILAR POLYGONS NAME: DATE: PERIOD: For # 1 – 10, refer to quadrilateral ABCD and EFGH.. H 15 cm E ?cm ? cm D 12cm A 7cm 4cm B C F 6cm 18 cm G 1. ____________ What is the scale factor from quadrilateral ABCD to EFGH? 2. ____________ What is the common ratio from quadrilateral ABCD to EFGH? 3. ____________ What is the scale factor from quadrilateral EFGH to ABCD? 4. ____________ What is the common ratio from quadrilateral EFGH to ABCD? 5. AD : ________ What is the corresponding side of AD? 6. AD =_______ What is the length of side AD? 7. GH : ________ What is the corresponding side of GH? 8. GH =_______ What is the length of GH? 9. ____________ What is the ratio of perimeters from quadrilateral ABCD to EFGH? 10. ____________ How does the your answer to question # 9 compare to your answer to _______________ question # 2? Geometry Unit 5 - Similarity Page 307 Independent Practice: MORE SIMILAR POLYGONS For # 11 – 14, refer to triangles CDE and TUV. 11. YES or NO Are the two triangles shown below similar? Explain: ________________________________________________ 12. ____________ What is the common ratio of CDE to TUV? 13. ____________ What is the ratio of the perimeter of CDE to TUV? 14. How does the common ratio and ratio of the perimeters of CDE to TUV compare? _______________________________________________________ For # 15 & 16, solve for the indicated value in each pair of similar polygons. 15. 1 = ________ 2 = ________ The sum of the measures of the interior angles of a hexagon is 720. The measures of the angles of a particular hexagon are in the ratio 4:5:5:8:9:9. What are the measures of these angles? 3 = ________ 4 = ________ 5 = ________ 6 = ________ Geometry Unit 5 - Similarity Page 308 Independent Practice: MORE SIMILAR POLYGONS 16. P = _________ A rectangle has a length of 4 feet and a perimeter of 14 feet. What is the perimeter of a similar rectangle with a width of 9 feet? For # 17 – 19, clearly circle the best answer. Work must be shown in order to receive credit. 17. A triangle with vertices (1, 2), (5, 2), and (3, - 2) is shown to the below. Which triangle below is similar to the figure above? A. Geometry Unit 5 - Similarity B. C. D. Page 309 Independent Practice: MORE SIMILAR POLYGONS 18. The graph of parallelogram ABCD is shown below. Which set of coordinates identifies the vertices of a parallelogram that is similar to ABCD? A. (0, 3), (2, 3), (1, 1), ( - 1, 1) B. ( - 2, 2), (0, 2), (1, 0), ( - 1, 0) C. ( - 8, 8), ( - 3, 8), ( - 5, 4), ( - 10, 4) D. ( - 3, 1), (1, 1), ( - 1, 5), ( - 5, 5) 19. The angles of a triangle are in the ratio of 3:4:5. What is the degree measure of the smallest angle of the triangle? Record your answer and fill in the bubbles on the grid below. Be sure to use the correct place value. Geometry Unit 5 - Similarity Page 310