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Geometry Name 3.1-3.3 Review #2 Date Hour I can identify relationships between lines. (parallel, perpendicular, skew) (#1-5) I can define parallel lines (#6-9) I can determine angle pair names when two lines are cut by a transversal. (#10) I can determine and justify angle measures when parallel lines are cut by a transversal. (#11-24) I can prove theorems about parallel lines and the resulting angle pair relationships. (#25-28) alternate exterior angles alternate interior angles corresponding angles consecutive interior angles perpendicular bisector perpendicular lines parallel lines transversal skew lines parallel planes In #1-5, complete the sentences with the vocabulary work from the list above. 1) Angles on opposite sides of a transversal and between the lines it intersects are 2) Lines that do not intersect and are in different planes are 3) A(n) . . is a line that intersects two coplanar lines at two different points. 4) Angles on the same side of a transversal and in between the lines it intersects are 5) Two lines that intersect at a right angle are In #6-9, identify each of the following. 6) a pair of skew segments 7) a pair of parallel segments 8) a pair of perpendicular segments 9) a pair of parallel planes 10) Define Parallel Lines: ____________________________________________________________________________________ ____________________________________________________________________________________ 11) True or False: If two lines do not intersect, then they are parallel. 12) Determine if each picture shows parallel lines. . . 13) Draw a diagram that represents j k . 2 3 1 4 5 8 6 7 13 14 16 15 9 10 12 11 14) Refer to the above figure and identify the special angle pair name. a) 3 and 13 ______________________________________________________ b) 8 and 10 _____________________________________________________ c) 11 and 15 ____________________________________________________ d) 8 and 6 ____________________________________________________ e) 1 and 6 _____________________________________________________ f) 6 and 10 _____________________________________________________ g) 14 and 15 _____________________________________________________ 15) m1 = 3x - 17 m2 = x + 1 x = ________ 16) 1 3 4 m3 = 20k + 11 m4 = 8k + 1 k = _________ 17) m1 = 95 + 7h m2 = 55 – h h = ________ 3 1 2 4 18) m3 = 5k + 12 m4 = 7k - 16 k = _________ 2 1 2 5 6 3 4 7 8 11 12 15 16 9 10 13 14 Let m1 = 115 and m12 = 110. Find the measure of each indicated angle. 19) m9 = ______ 20) m4 = ______ 21) m10 = ______ 22) m11 = ______ 23) m8 = ______ 24) m5 = ______ 25) m3 = ______ 26) m14 = ______ 27) To solve for x in the diagram below, John used the equation 4x +10 = 42. Write out the theorem or postulate that allows him to do so. 21. 28) To solve for x in the diagram below, Jenna used the equation 4x – 10+50 = 180. Write out the theorem or postulate that allows her to do so. (4x +10)° a h k b 42° Complete the proofs. 29) Given: j k Prove: 1 and 7 are supplementary Statements Reasons (4x – 10)° 50° 30) Complete the proof of the Consecutive Interior Angles Theorem (you cannot use the theorem anywhere in the proof!). 31) Given: a b and h j Prove: 3 9 Statements Reasons 1. a b and h j 1. 1 3 2. 3. 1 9 3. 2. 4. 32) 3 9 4.