SECOND SIX WEEKS REVIEW PG. 1 NME DTE PER SECOND SIX WEEKS REVIEW Using the figure below, identify the special angle pair. Then write C for congruent, S for supplementary, or N for neither. d 1. ; 1 and 8 2. ; 6 and 14 3. ; 10 and 11 c l 3 4 8 1 2 7 5 6 12 11 9 10 16 15 13 14 m In the figure below, line l is parallel to line m and m 1 = 55. Find the measure of each angle. 4. m 2 =? 5. m 3 =? 6. m 4 =? 7. m 5 =? 1 2 3 4 5 6 7 8 8. m 6 =? 9. m 7 =? l m 10. m 8 =? MORE PRLLEL LINES Find the indicated values. 11. x = y = y (6x + 2) (4x + 10) 64
SECOND SIX WEEKS REVIEW PG. 2 Find the m 1 if p llq. 12. m 1 = m 1 = (2x) and m 3 = (3x 25) p q 1 2 3 4 5 6 7 8 13. m 1 = m 3 = (3x+20) and m 2 = (5x+8) p q 1 2 3 4 5 6 7 8 WRITING EQUTIONS OF PRLLEL & PERPENDICULR LINES Determine whether the lines are parallel, perpendicular or neither. 14. -3x + 2y = 5, 6x 4y = 8 15. and CD (3, 5) (4, 7) C(7, 0) D(2, 10) Use the given information to write the equation of the line in slope-intercept form.
SECOND SIX WEEKS REVIEW PG. 3 16. line perpendicular to 3x + 2y = 10 and goes through the point (3, 8). How would this problem be different if we changed perpendicular to parallel? MTCHING Write the letter of each property next to its definition. The letters a, b, and c represent real numbers. 17. If a = b, then b = a. 18. If a = b, then ac = bc. 19. 20. If a, then a = a.. ddition Property of Equality. Subtraction Property of Equality C. Multiplication Property of Equality D. Division Property of Equality E. Reflexive Property of Equality F. Symmetric Property of Equality G. Transitive Property of Equality H. Substitution Property of Equality I. Distributive Property 21. If a = b, then a + c = b + c. J. Reflexive Property of Congruence K. Symmetric Property of Congruence 22. a(b + c) = ab + ac. L. Transitive Property of Congruence 23. If a = b and b = c, then a = c. 24. If P Q, then Q P. 25. If and C, then C
SECOND SIX WEEKS REVIEW PG. 4 26. If a = b and c 0, then a c = b c 27. If a = b, then b can be substituted for a in any expression 28. If a = b, then a c = b c. Conditional Statements 29. Write a conditional statement from the sentence Parallel lines do not intersect. Underline the hypothesis once and the conclusion twice. Conditional: Determine if each conditional is true. If false, give a counterexample. 30. If two angles are adjacent, then they have a common ray. True or False Counterexample: 31. If it is a weekday, then it is Monday. True or False Counterexample: Write the converse, inverse, and contrapositive of the given conditional statement in problems 16-18. Find the truth value of each. 32. If m 1 = 35, then 1 is acute. Converse: T or F Inverse: T or F Contrapositive: T or F
K. Definition of Midpoint SECOND SIX WEEKS REVIEW PG. 5 Use the Word ank and write the LETTER for the justification for each step. Statements m + 3 = -4.5 5 Reasons m 33. + 3 = -4.5 5 m 34. = -7.5 5 m = 37.5 35. Statements -47 = 3x 59 Reasons -47 = 3x 59 36. 12 = 3x 37. 4 = x 38. WORD NK FOR REVIEW QUESTIONS Write the LETTER (Letters may be used more than once). Given. Simplify C. ddition Property D. Subtraction Property E. Multiplication Property F. Division Property G. Substitution Property H. Distributive Property I. ngle ddition Postulate J. Segment ddition Postulate
SECOND SIX WEEKS REVIEW PG. 6 Write a two-column proof for the following problem. Given: D bisects C. 1 3 Prove: 2 3 3 1 2 D C Statements Reasons D bisects C 39. 1 3 40. 1 2 41. 2 3 42. WORD NK FOR REVIEW QUESTIONS Write the LETTER (Letters may be used more than once). Given. Simplify C. ddition Property D. Subtraction Property E. Multiplication Property F. Division Property G. Substitution Property H. Distributive Property I. ngle ddition Postulate
SECOND SIX WEEKS REVIEW PG. 7 Triangle asics Write the correct term for each description given. 43. figure formed by the segments determined by 3 noncollinear points. 44. triangle with no two sides congruent. 45. triangle with at least two sides congruent. 46. triangle with all sides congruent. 47. triangle in which all of the angles are acute. 48. triangle with an obtuse angle. 49. triangle with a right angle.
SECOND SIX WEEKS REVIEW PG. 8 50. triangle with all angles congruent. Decide if the following lengths can be sides of a triangle. If yes, classify the triangles by SIDES. 51. YES or NO 8, 10, 20 Classification: 52. YES or NO 10, 11, 14 Classification: 53. YES or NO 10, 10, 10 Classification: The measures of two angles of a triangle are given. Find the measure of the third angle, then classify the triangle by NGLES. 54. Third ngle = 57, 33 Classification:
SECOND SIX WEEKS REVIEW PG. 9 55. Third ngle = 36, 52 Classification: 56. Third ngle = 50, 50 Classification: Find the specified value(s). 57. x = E 2x m E = D x x F 58. x = 80 m C = x (2x 4) C m C = nswer each of the following.
SECOND SIX WEEKS REVIEW PG. 10 59. ngles: In C, = 6, C = 8, and C = 12. List the angles of C in order from largest to smallest. 60. Sides: In XYZ, m X = 103, m Y = 41, and m Z = 36. List the sides of XYZ in order from shortest to longest. 61. m P = m Q = Find the measure of each angle in the picture if m R = 5x 17 and m Q = 2x + 10. P m R = R (5x 17) (2x + 10) Q ased on the markings below, tell whether in each triangle is a:. ngle isector. Median C. ltitude D. Perpendicular isector List all that apply. 62.
SECOND SIX WEEKS REVIEW PG. 11 63. 64. 65. Special Segments For each of the following, find the indicated measure. 66. D is a median in C, if D = 5x 1, CD = 4x + 7, and C =2x - 3. Find the length of C. C D 67. D is an altitude in C, find the value of x if m D = (4x 10). D C
SECOND SIX WEEKS REVIEW PG. 12 68. C is an isosceles triangle with vertex angle C and altitude CD. Find m 2 if m 1 = (2x + 5) and m 2 = (3x 7). C 1 2 5 3 4 D 6