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Geometry Chapter 3 Review Name:_______________________ Hour:___________ 1. According to the Perpendicular Postulate, if there is a line and a point not on the line, then how many lines perpendicular to the given line can be drawn through the point? l p 2. According to the Parallel Postulate, if there is a line and a point not on the line, then how many parallels to the given line can be drawn through the point? l p Use the picture to answer the following questions. Lines j & k are parallel. 3. List a pair of Corresponding Angles. 4. List a pair of Alternate Interior Angles. 5. List a pair of Alternate Exterior Angles. 6. List a pair of Consecutive Interior Angles. 7. List a pair of Vertical Angles. Use the picture to answer the following questions. 8. What plane is parallel with ADH? C B 9. What plane is parallel with BCD? D A 10.Identify the pair of lines as Perpendicular, Parallel or Skew. AD & EH CD & AE G F CG & AE EF & EH E 11.What is the difference between parallel and skew lines? (Define each word.) a. Parallel Lines are _______________. b. Skew Lines are _______________. H C 12.Label the measure of each of the 8 angles in the following picture if A AEG 83 13. Which lines are parallel under the given situation? Give a reason for each statement. a. E B H b. Find the value of x, state the reason. 13. 14. 15. 16. D F G Find the value of each variable x: 17. 18. 19. 23. Find the measure of all the missing angles if 𝑚∠1 = 63°. 24. m 2 _______ 25. m 3 _______ 26. m 4 _______ 27. m 5 _______ 28. m 6 _______ 29. m 7 _______ 30.Find the slope of the line that passes through (-1,3) and (-7,4) and find the slope of the line that passes through (2 , 7) and (4 , 19). Are the lines parallel, perpendicular or neither? Write the equation of the line given the following information. 1 31. 4, 3 ; m 2 32.Find the equation of a line that passes through P 4, 5 and is parallel to y 6 x 7 33.Find the equation of a line that passes through P 1, 2 and is perpendicular to y 2 x 4 What is the slope of the lines parallel and perpendicular to the given line? Equation Parallel Slope Perpendicular Slope 1 34. y x 4 2 35. 2 x 3 y 9 36. 5 x 15 y 45 37. Describe the relationship between the two lines as parallel, perpendicular or neither. Line #1: 3x 7 y 6 Line # 2 : 21x 9 y 3