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Transcript

Geometry Chapter 3 Test Review Name:________________________ Fill in the blank with PARALLEL, PERPENDICULAR, or NEITHER. 1. Line q is ____________________ to line r 2. Line p is ____________________ to line r 3. Line p is ____________________ to line q 4. Line p is ____________________ to line s Consider each segment in the diagram at the right as part of a line. 5. Name three segments parallel to TZ . ____________________________ 6. Name four segments that intersect TZ . __________________________ 7. Name four segments skew to TZ . _______________________________ Find the value of the variable, given that f ⊥ g. 8. 9. 10. In the diagram at the right, h ⊥ j and i ⊥ j. Determine whether enough information is given to conclude that the statement is true. Write yes or no. 11. ∠10 is a right angle 12. ∠7 ≅ ∠8 13. ∠2 ≅ ∠3 14. ∠6 ≅ ∠7 State the following using the picture. Don’t forget to use angle symbols! 15. Two pairs of alternate interior angles 16. Two pairs of alternate exterior angles 17. Four pairs of corresponding angles 18. Four pairs of vertical angles For #19-27, use the picture below. Choose the letter that shows the correct relationship between the angle pairs. r s m l A. alternate interior 19. 3 and 9 ____ 20. 8 and 13 ______ 21. 2 and 10 ____ 22. 5 and 7 ______ 23. 6 and 16 ____ 24. 1 and 2 ______ 25. 5 and 13 ____ 26. 10 and 16 ______ B. same-side interior C. alternate exterior D. corresponding E. vertical F. linear pair 27. 13 and 15 ____ Describe the relationship between the pairs of angles by circling the word that makes the sentence true. 28. If lines are parallel, then ….the alternate interior angles are: congruent supplementary the corresponding angles are: congruent supplementary the same side interior angles are: congruent supplementary 29. Vertical angles are always congruent 30. Linear pairs are always congruent supplementary even if the lines are not parallel. supplementary even if the lines are not parallel. State the type of angles shown and find the measure of 1. 31. 32. Type of Angles :____________ Type of Angles :____________ m ∠1: ________ m ∠1: ____________ 33. 34. Type of Angles: ___________ m ∠1: _______ Type of Angles: _____________ m ∠1: __________ Use the relationship between the angles to write an equation and solve for x. 35. 36. Type of angles _______________________ Type of angles _______________________ Relationship: congruent or supplementary Relationship: congruent or supplementary Equation: Equation: x = ________ x = ________ 37. 38. Type of angles _______________________ Type of angles _______________________ Relationship: congruent or supplementary Relationship: congruent or supplementary Equation: Equation: x = ________ x = ________ 39. 40. Type of angles _______________________ Type of angles _______________________ Relationship: congruent or supplementary Relationship: congruent or supplementary Equation: Equation: x = _________ x = __________ Determine whether enough information is given to conclude that the lines are parallel. If so, state the reason. Choices are: Alternate Interior Angles Converse (AIA) Same-Side Interior Angles Converse (SSI) Corresponding Angles Converse (CA) Alternate Exterior Angles Converse (AEA) Not enough proof that the lines are parallel. 41. 42. 43. 44. 45. Find the value of the variable so that m // n. 46. 47. 48. Find the value of the variable that makes ⃡𝑬𝑭 // ⃡𝑮𝑯. 49. 50.