1. 1) Definition of Perpendicular Lines 2) Segment Addition Postulate
Station 1:
1) Definition of Perpendicular Lines
2) Segment Addition Postulate
3) Definition of a Midpoint
4) Angle Addition Postulate
5) Definition of a Right Angle
6) Angle Addition Postulate
7) Definition of Perpendicular Lines
8) Midpoint Theorem
9) Definition of Complementary Angles
10) Vertical Angle Theorem
11) Substitution or Transitive
12) Subtraction
13) Definition of an Angle Bisector
14) Definition of Supplementary Angles
15) Angle Bisection Theorem
Station 2: 1) x = 7, DF = 13, FG = 21, DG = ) x = 3, mÐMNL = 44, mÐLNP = 136, mÐMNP = 180
3) x = 10, mÐJKM = 20, mÐMKL = 70, mÐJKL = 90
4) x = 8, mÐQSR = 51, mÐTSP = 51, mÐQST = 129, mÐRSP = 129
Station 3:
1.) mÐKXJ = ) mÐCXJ = 108
2.) mÐJXH = ) mÐJXF = 162
3.) mÐHXG = ) mÐGXC = 162
4.) mÐGXF = ) mÐCXH = 180
5.) mÐFXD = ) mÐFXB = 108
6.) mÐDXC = ) mÐKXD = 162
7.) mÐCXB = ) mÐDXH = 108
8.) mÐKXH = ) mÐCXF = 90
9.) mÐKXF = ) mÐCXH = 180
10.) mÐFXH = ) mÐBXJ = 90
Station 4:
Statements Reasons
1. AB = BD; BC = BD Given
2. AB = BC Substitution
3. B is the midpoint of AC Definition of a midpoint
Statements Reasons
1. WE = ST Given
2. WE + ES = ST + ES Addition Property
3. WE + ES = WS Segment Addition
ST + ES = ET Postulate
4. WS = ET Substitution
Statements Reasons
1. Ð1 and Ð3 are complementary 1. Given
2. mÐ1 + mÐ3 = Definition of Complementary Angles
3. mÐ1 = mÐ Vertical Angles are Congruent
4. mÐ2 + mÐ3 = Substitution
5. mÐ2 + mÐ3 = mÐDCH Angle Addition Postulate
6. m<DCH = Substitution
7. ÐDCH is a right angle Definition of a Right Angle
8. BH ^ DC Definition of Perpendicular Lines
Station 5:
Statements Reasons
1. 4x + 3y = 2x + 1; y = Given
2. 4x + -6 = 2x Substitution
3. 2x – 6 = Subtraction
4. 2x = Addition
5. x = Division
Station 6:
Statements Reasons
1. Ð Given
2. Ð Vertical Angles are Congruent
3. Ð4 3. Substitution
4. Ð Given.
5. Ð Substitution
Statements Reasons
1. BC ^ FD 1. Given
2. ÐBCD is a right angle 2. Definition of Perpendicular Lines
3. mÐBCD = Definition of a right angle
4. mÐBCF + mÐFCD = mÐBCD 4. Angle Addition Postulate
5. mÐBCF + mÐFCD = Substitution
6. ÐBCF and ÐFCD are complementary Definition of Complementary Angles