Geometry/Trig 2                                                  Name: __________________________ 
  Unit 3 Review Packet                                             Date: ___________________________ 
  Section I – Name the five ways to prove that parallel lines exist. 
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  Section II – Identify the pairs of angles.  If the angles have no relationship, write none. 
  1. 7  & 11 _________________________________ 
  2. 3 & 6 _________________________________                                            1   2       9  10 
  3. 8 & 16 ________________________________                                 a        3  4        11  12 
  4. 2 & 7 _________________________________ 
  5. 3 & 5 _________________________________  b                                    5  6       13  14 
                                                                                    7     8     15 16 
  6. 1 & 6 __________________________________ 
  7. 1 & 6 __________________________________ 
  8. 1 & 4 __________________________________ 
  Section III – Fill In 
  Vertical angles are ______________________________________ 
  If two parallel lines are cut by a transversal, then corresponding angles are ___________________ 
  If two parallel lines are cut by a transversal, then alternate interior angles are _________________ 
  If two parallel lines are cut by a transversal, then alternate exterior angles are ________________ 
  If two parallel lines are cut by a transversal, then same side interior angles are ________________ 
  If two parallel lines are cut by a transversal, then same side exterior angles are ________________ 
  Geometry/Trig 2                                                  Name: __________________________ 
  Unit 3 Review Packet – Page 2                                    Date: ___________________________ 
  Section IV – Determine which lines, if any, are parallel based on the given information. 
  1.) m1 = m9                   _________________________                          a          1   2       9  10 
  2.) m1 = m4                   _________________________                                    3  4        11  12 
  3.) m12 + m14 = 180           _________________________                        b        5  6       13  14 
                                                                                           7    8      15 16 
  4.) m1 = m13                  _________________________                               c           d 
  5.) m7 = m14                  _________________________ 
  6.) m13 = m11                 _________________________ 
  7.) m15 + m16 = 180           _________________________ 
  8.) m4 = m5                   _________________________ 
  Section IV – Determine which lines, if any, are parallel based on the given information. 
  1. m1 = m4     ___________________ 
  2. m6 = m8     __________________ 
  3. 1 and 11 are supplementary     _______________ 
  4. a ^ t and b ^ t     ___________________________ 
  5. m14 = m5 ______________________________                                  a              b        k 
                                                                                                                    m 
  6. 6 and 7 are supplementary   ________________                                             15 
  7. m14 = m15     ____________________________                            13    12     11    9         8            t 
                                                                                                               7 
                                                                                            10 
  8. 7 and 8 are supplementary     _________________                           2                5 
                                                                               1    3         4     6                  s 
  9. m5 = m10      ______________________________ 
                                                                                            14 
  10. m1 = m13     ______________________________ 
  Geometry/Trig 2                                Name: __________________________ 
  Unit 3 Review Packet – Page 3                  Date: ___________________________ 
  Section V - Proofs                                                         J 
  1.  Given: GK bisects JGI; m3 = m2                                G    1      K 
  Prove: GK // HI                                                           2 
           Statements             Reasons 
  1.                          1. Given 
  2.                          2.                                  H  3           I 
  3.                          3. Given 
  4.                          4. 
  5.                          5. 
  2.  Given: AJ // CK; m1 = m5     Prove: BD // FE                A          C 
        Statements                Reasons  
                                                           B         1       2   3    D 
                                                                            4 
                                                         F                   5        E 
                                                               J           K 
  Geometry/Trig 2                                          Name: __________________________ 
  Unit 3 Review Packet – Page 4                            Date: ___________________________ 
  3.  Given: a // b; 3 @  4              Prove:  10 @  1          1                      2 
                                                                 a             3        4 
           Statements                       Reasons                                 5 
                                                                                    6 
                                                                b               7         8 
                                                                        10                         9 
                                                                        c                            d 
  4.  Given: 1 and 7 are supplementary.  
  Prove: m8 = m4                                                 b                       1     3 
                                                                                        4    5 
                                                                   a               6     7 
           Statements                       Reasons                           8     2