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Geometry/Trig I Unit 2 Practice Test – Parallel Lines Name: Date: Period: ______________________________________________________________________________ Section 1: Given: a//b, state whether the given angles must be “ ” or supplementary. If no conclusion can be reached, write “NC.” _________(1) _________(2) _________(3) _________(4) 9 and 5 and 3 and 7 and 10 17 13 11 d c 6 7 9 8 1 2 5 4 3 17 18 16 15 a 14 13 10 12 11 b Section 2: Using the figure, write the letter of the choice that best completes each d c statement. (A) (B) (C) (D) a//b c//d a//b & c//d No Conclusion ________(5) If ________(6) If ________(7) If ________(8) If 1 2 5 4 3 17 18 16 15 9 14 13 12 6 7 8 a 10 11 b 4 14, then _______ 9 16, then _______ 2 7 and 7 and 15 are supplementary, then _____ 17 11, then _________ Section 3: Complete the following: _______________ (9) m 1 = _____ _______________ (10) m 2 = _____ _______________ (11) m 3 = _____ 3 2 1 Section 4: Use the diagram and the given information to find “x” _______________(12) m 7 = 6x and m 9 = x + 12 _______________ (13) m 8 = 2.5x – 11 and m 7 = 2x + 15 _______________ (14) m 6 = 8x – 12 and m 7 = 9x 7 6 9 8 Section 5: Linear Equations and Systems _______________ (15) Solve the system: 3x – 4y = 13 x – 5y = 8 _______________ (16) Write an equation of the line that is perpendicular to y= 1 x – 3 and passes through (6,2) 3 Section 6: Write the converse and the contrapositive of the statement. “If Mr. Marttila eats pizza, then he needs to go to the gym.” (17)Converse:__________________________________________________________________ (18)Contrapositive:____________________________________________________________________ Section 7: Answer (A) Always true, (S) Sometimes true, (N) Never true ______(19) If 2 lines are cut by a transversal, then the corresponding angles formed are equal. ______(20) If parallel lines are cut by a transversal, then the same side interior angles are equal. ______(21) If 2 lines are parallel to a 3rd line, then they are parallel to each other. ______(22) If 2 lines are skew, then they lie in the same plane. ______(23) If 2 lines are parallel, then they are coplanar. Section 8: In Questions #24 - 26, OT is perpendicular to YS. Find the value of x. ________(24) m 1 = 3x and m 4 = -2x + 30 Y ________(25) m 3 = 2x + 15 and m 4 = x + 30 O V 4 ________(26) m 1 = 26x + 1 and m VOS = 11x – 6 3 2 1 R T S Section 9: Write the letter of the reason that justifies each statement. (A) Definition of complementary (B) Definition of supplementary (C) Angle Addition Postulate (D) If two lines are perpendicular, then they form congruent adjacent angles (E) If two lines form congruent adjacent angles, then the lines are perpendicular (F) Definition of angle bisector (G) Definition of right angle F ________(27) If BE bisects FBD, then 7 6. 7 ________(28) m ABD + m DBC = m ABC 8 ________(29) If m 8 = 900 , then 8 is a right angle. A E 6 D 5 C B ________(30) If m FBD + m 5 = 900 , then FBD is complementary to 5. ________(31) If FB AC , then 8 FBC. Section 10: Write a two-column proof. G Given: KH bisects GKJ are a linear pair are a linear pair 15 A Prove: 11 15 (32) Statements Reasons 11 K 16 17 H J