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Mrs. Rivas

Mrs. Rivas. Name the triangle sides that are parallel to the given side. 1. 2. 3. 4 . 5 . 6. Mrs. Rivas. Points M, N, and P are the midpoints of the sides of ∆ QRS. QR = 30, RS = 30, and SQ = 18. 7. Find MN 8 . Find MQ. 9. Find MP 10 . Find PS.

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Mrs. Rivas

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  1. Mrs. Rivas Name the triangle sides that are parallel to the given side. 1. 2. 3.4. 5.6.

  2. Mrs. Rivas Points M, N, and P are the midpoints of the sides of ∆QRS. QR = 30, RS = 30, and SQ = 18. 7. Find MN8. Find MQ 9. Find MP10. Find PS 11. Find PN12. Find RN

  3. Mrs. Rivas Algebra Find the value of x. 13.

  4. Mrs. Rivas Algebra Find the value of x. 14.

  5. Mrs. Rivas Algebra Find the value of x. 15.

  6. Mrs. Rivas Use the diagram at the right for Exercises 16 and 17. 16. Which segment is shorter for kayaking across the lake, or ? Explain. is shorter because is half of 5 mi, while is half of 6 mi.

  7. Mrs. Rivas Use the diagram at the right for Exercises 16 and 17. 17. Which distance is shorter, kayaking from to to , or walking from to to ? Explain. Neither; the distance is the same because ≅ and ≅ .

  8. Mrs. Rivas Use the figure at the right for Exercises 18–21. 18. What is the relationship between and ? is the perpendicular bisector of

  9. Mrs. Rivas Use the figure at the right for Exercises 18–21. 19. What is the value of x?

  10. Mrs. Rivas Use the figure at the right for Exercises 18–21. 20. Find LM.

  11. Mrs. Rivas Use the figure at the right for Exercises 18–21. 21. Find LO.

  12. Mrs. Rivas Use the figure at the right for Exercises 22–26. 22. According to the figure, how far is A from ? From ? From A to From A to

  13. Mrs. Rivas Use the figure at the right for Exercises 22–26. 23. How is related to DCB? Explain. bisects ; Converse of Angle Bisector. Theorem.

  14. Mrs. Rivas Use the figure at the right for Exercises 22–26. 24. Find the value of x.

  15. Mrs. Rivas Use the figure at the right for Exercises 22–26. 25. Find mACDand mACB.

  16. Mrs. Rivas Use the figure at the right for Exercises 22–26. 26. Find mDACand mBAC.

  17. Mrs. Rivas Algebra Find the indicated values of the variables and measures. 27. m, LO, NO

  18. Mrs. Rivas Algebra Find the indicated values of the variables and measures. 28. ,

  19. Mrs. Rivas Algebra Find the indicated values of the variables and measures. 29. p, IJ, KJ

  20. Mrs. Rivas 30. Writing Determine whether A must be on the bisector of LMN. Explain. a. b. Yes; , so is a bisector of . Yes; is equidistant from both rays of the angle, so lies on the bisector.

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