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Geometry and Algebra Problem Set: Transformations, Angles, and Similarity

This document contains a series of geometry and algebra questions involving various concepts such as angle calculations, dilations, and reflections. The problems cover topics like finding unknown angles, applying transformations, and simplifying expressions. Each question includes a corresponding answer, making it a comprehensive resource for students looking to enhance their understanding of these mathematical principles. Identify corresponding angles, evaluate transformations, and explore similarity in triangles, along with algebraic solutions.

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Geometry and Algebra Problem Set: Transformations, Angles, and Similarity

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  1. Trashketball!

  2. Question 1 • Find x x 40 75

  3. Answer • x=115

  4. Question #2 b Find <a if <b=37

  5. Answer: • <b= 143

  6. Question 3 • What is T’ if T(-3, 6) is dilated by a scale factor of 5?

  7. Answer • T’ = (-15,18)

  8. Question 4 If JKLM is rotated by 180 counter clockwise, what is K’ ?

  9. Answer • K’( -5, -5)

  10. Question 5 Name a corresponding angle to <a a 1 2 3 4

  11. Answer • <4

  12. Question 6 Find the Value of x 85 (3x-5) x

  13. Answer • x= 25

  14. Question 7 Find the value of x 65  x

  15. Answer • X= 25

  16. 55 Question 8 95 30 • Are the 2 triangles similar? Why or why not? 45 25 110

  17. answer • No because their corresponding angles are not congruent

  18. Question 9 • If NMO is reflected over the y-axis, what is O’? • O(-5,-6)

  19. Answer • O’ (5,-6)

  20. Question 10 • Simplify:

  21. answer

  22. Question 11 • Simplify:

  23. Answer

  24. Question 12 • Simplify:

  25. answer

  26. Question 13 • Simplify:

  27. answer

  28. Question 14

  29. answer

  30. Question 15

  31. Answer • 7

  32. Question 16

  33. answer

  34. Question 17

  35. answer

  36. Question 18

  37. answer

  38. Question 20

  39. Question 19

  40. answer

  41. answer • 2

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