1. 
When can you assume angles are vertical in a diagram? > When they are opposite angles formed by intersecting lines or segments

2. 
Which is a pair of vertical angles? > ∠AOB and ∠WOX

3. 
In order use the segment addition postulate to conclude that XY + YZ = XZ, what must we know about points X, Y, and Z? > ∠XYZ and ∠YZX are complementary

4. 
Which is always true of complementary angles ∠X and ∠Y? > m∠X + m∠Y = 90

5. 
Using the figure below, prove that ∠CME and ∠DMF are congruent.Statements  Reasons  1. ∠CMD ≅ ∠AMB  Given  2. ∠AMB and ∠FME are vertical angles  Given  3. ∠AMB ≅ ∠FME  ?  4. ∠CMD ≅ ∠FME  ?  5. m∠CMD = m∠FME  ?  6. m∠CMD + m∠DME = m∠FME + m∠DME  ?  7. m∠CME = m∠DMF  ?  8. ∠CME ≅ ∠DMF  ? 
Which of the following is the best reason for statement 3? > Definition of angle bisector

6. 
Using the figure below, prove that ∠CME and ∠DMF are congruent.Statements  Reasons  1. ∠CMD ≅ ∠AMB  Given  2. ∠AMB and ∠FME are vertical angles  Given  3. ∠AMB ≅ ∠FME  ?  4. ∠CMD ≅ ∠FME  ?  5. m∠CMD = m∠FME  ?  6. m∠CMD + m∠DME = m∠FME + m∠DME  ?  7. m∠CME = m∠DMF  ?  8. ∠CME ≅ ∠DMF  ? 
Which of the following is the best reason for statement 4? > Reflexive property of congruence

7. 
Using the figure below, prove that ∠CME and ∠DMF are congruent.Statements  Reasons  1. ∠CMD ≅ ∠AMB  Given  2. ∠AMB and ∠FME are vertical angles  Given  3. ∠AMB ≅ ∠FME  ?  4. ∠CMD ≅ ∠FME  ?  5. m∠CMD = m∠FME  ?  6. m∠CMD + m∠DME = m∠FME + m∠DME  ?  7. m∠CME = m∠DMF  ?  8. ∠CME ≅ ∠DMF  ? 
Which of the following is the best reason for statement 5? > Addition property of equality

8. 
Using the figure below, prove that ∠CME and ∠DMF are congruent.Statements  Reasons  1. ∠CMD ≅ ∠AMB  Given  2. ∠AMB and ∠FME are vertical angles  Given  3. ∠AMB ≅ ∠FME  ?  4. ∠CMD ≅ ∠FME  ?  5. m∠CMD = m∠FME  ?  6. m∠CMD + m∠DME = m∠FME + m∠DME  ?  7. m∠CME = m∠DMF  ?  8. ∠CME ≅ ∠DMF  ? 
Which of the following is the best reason for statement 6? > Division property of equality

9. 
Using the figure below, prove that ∠CME and ∠DMF are congruent.Statements  Reasons  1. ∠CMD ≅ ∠AMB  Given  2. ∠AMB and ∠FME are vertical angles  Given  3. ∠AMB ≅ ∠FME  ?  4. ∠CMD ≅ ∠FME  ?  5. m∠CMD = m∠FME  ?  6. m∠CMD + m∠DME = m∠FME + m∠DME  ?  7. m∠CME = m∠DMF  ?  8. ∠CME ≅ ∠DMF  ? 
Which of the following is the best reason for statement 7? > Definition of congruence

10. 
Using the figure below, prove that ∠CME and ∠DMF are congruent.Statements  Reasons  1. ∠CMD ≅ ∠AMB  Given  2. ∠AMB and ∠FME are vertical angles  Given  3. ∠AMB ≅ ∠FME  ?  4. ∠CMD ≅ ∠FME  ?  5. m∠CMD = m∠FME  ?  6. m∠CMD + m∠DME = m∠FME + m∠DME  ?  7. m∠CME = m∠DMF  ?  8. ∠CME ≅ ∠DMF  ? 
Which of the following is the best reason for statement 8? > Angle addition postulate
