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Geometry Problem Set Solutions and Answers

This document contains a comprehensive set of geometry problems and their solutions from multiple problem sets. It features various geometric concepts, including the properties of angles, rhombuses, trapezoids, octagons, and triangles. Each problem is systematically numbered and includes detailed calculations and answers. It is designed for students and educators looking to reinforce their understanding of geometry through practical examples. The sets are structured to facilitate easy navigation and learning.

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Geometry Problem Set Solutions and Answers

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  1. Math Alex Chiang Anthony Hsu Andy Tien

  2. Questions A 1 B 1 C A = 1pt B = 2pt C = 3pt A 2 B 2 A 3 B 3 A 4 B 4 A 5

  3. Problem Set ANumber 1 B. C. A. 30º 30º 14 5√3 60 º 60 º 90º 90º 90º 10 E. D. 30º 228 Answer 90º 60 º 90º 173

  4. Problem Set ANumber 1 Answers B. C. A. 30º 30º 20 10 14 7√3 10√3 5√3 90º 60 º 90º 60 º 90º 7 10 5 E. D. 30º 346 228 114√3 173√3 Home 90º 60 º 90º 173 114

  5. Problem Set ANumber 2 A. B. 30º 60 º 15 6 90º 30º 90º 60 º D. C. 90º 15 90º 30º 7 60 º Answer

  6. Problem Set ANumber 2 Answers A. B. 30º 60 º 15 4√3 7.5 6 90º 30º 90º 60 º 7.5√3 2√3 D. C. 14√3 7√3 3 3 90º 15 5√3 90º 30º 7 60 º 10√3 Home

  7. Problem Set ANumber 3 A. B. b a 21 4 C. x Answer 26

  8. Problem Set ANumber 3 Answers A. B. 14√3 2√3 21 4 C. 13√3 Home 26

  9. Problem Set ANumber 4 A. B. 45º 45º x 8 8 45º 45º y D. C. 45º w 17 z 45º 45º 45º 38 Answer

  10. Problem Set ANumber 4 Answers A. B. 45º 45º 8√2 8 8 45º 45º 4√2 D. C. 45º 19√2 17 17√2 Home 45º 45º 45º 38

  11. Problem Set ANumber 5 8 30º Answer

  12. Problem Set ANumber 5 Answers 16 8 30º Home

  13. Problem Set BNumber 1 One of the angles of a rhombus has a measure of 120. If the perimeter of the rhombus is 24, find the length of each diagonal. Answer

  14. Problem Set BNumber 1 Answers 6 60º 30º Answer: 6, 6√3 60º 30º 6 90º 6 90º 90º 90º 30º 60º 30º 60º 6 Home

  15. Problem Set BNumber 2 Find, to the nearest tenth, the perimeter of the trapezoid. 30º 8 10 Answer

  16. Problem Set BNumber 2 Answers 30º 8 10 Perimeter: 57.9 Home

  17. Problem Set BNumber 3 • Any regular octagon can be divided into rectangles and right triangles. Here, a side of the central square is 6 units long. • Find the perimeter of the octagon • Find the span of the octagon 6 Answer

  18. Problem Set B Number 3 Answer • 48 • 6+6√3 6 Home

  19. Problem Set BNumber 4 120º 18 Find the length of the altitude to the base of the isosceles triangle shown. Answer

  20. Problem Set BNumber 4 Answers 120º 18 Answer: 3√3 Home

  21. Problem C E (-4, 5) D C B (16,0) A If the area of rectangle ABCE is eight times that of BCD, how far is D from the origin? Answer

  22. Problem C E (-4, 5) D C B (16,0) A Answer: √146 Home

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