1. Geometry/Trig 2Name: __________________________ Unit 2 Stations Review - AnswersDate: ___________________________ Station 1 – Provide a justification (definition, property, postulate, or theorem) for each statement. B F C D G H 3 2 1 Station 2 – Complete each Algebra Connection Problem – Show all work. 1. 2. x = __7____ DF = __13___ FG = __21__ DG = __34___ x = __3____ m  MNL = ___44___ m  LNP = __136__ m  MNP = 180____ StatementJustification 1.If BH  DC, then  DCH is a right angle.Definition of Perpendicular Lines 2.FC + CG = FG.Segment Addition Postulate 3.If C is the midpoint of FG, then FC = CG.Definition of a Midpoint 4.m  BCG + m  GCH = 180.Angle Addition Postulate 5.If  DCH is a right angle, then m  DCH = 90.Definition of a Right Angle 6.m  DCG + m  GCH = m  DCH.Angle Addition Postulate 7.If  BCD is a right angle, then BH  DC.Definition of Perpendicular Lines 8.If C is the midpoint of FG, then FC = ½FG.Midpoint Theorem 9.If  3 and  1 are complementary angles, then m  3 + m  1 = 90. Definition of Complementary Angles 10.  BCF   GCHVertical  s  are Congruent OR Vertical  Theorem. 11.If m  1 = m  2 and m  2 = m  3, then m  1 = m  3.Substitution OR Transitive 12.If m  BCF + m  FCH = m  FCH + m  HCG, then m  BCF = m  HCG. Subtraction 13.If CG bisects  DCH, then  DCG   GCHDefinition of an Angle Bisector 14.If m  DCG + m  FCH = 180, then  DCG and  FCH are supplementary angles. Definition of Supplementary Angles 15.If CG bisects  DCH, then m  DCG = ½m  DCH.Angle Bisector Theorem

2. Station 3 – Complete the diagram on your answer sheet; fill in all missing angle measures; find the measure of each indicated angle measure. Geometry/Trig 2Name: __________________________ Unit 2 Stations Review – page 2Date: ___________________________ Station 2 Continued – Complete each Algebra Connection Problem – Show all work. 3.4. x = __10___ m  JKM = __20___ m  MKL = __70___ m  JKL=__90___ x = __8___ m  QSR = ___51___ m  TSP = _ 51 ___ m  QST = _129_ m  RSP = __129___ Given: ___  ___; ___  ___; m  BXK = ___ Find each angle measure: 1.) m  KXJ = ___18_____11.) m  CXJ = ___108____ 2.) m  JXH = ___72_______ 12.) m  JXF = ___ 162_____ 3.) m  HXG = ___ 18 ____ 13.) m  GXC = ___ 162 ____ 4.) m  GXF = ___ 72 _____ 14.) m  CXH = ___ 180____ 5.) m  FXD = ___ 18 _____ 15.) m  FXB = ___ 108 _____ 6.) m  DXC = ___ 72 _____ 16.) m  KXD = ____ 162 ____ 7.) m  CXB = ___ 18 ___ 17.) m  DXH = ___108___ 8.) m  KXH = ___90____ 18.) m  CXF = ____ 90 ____ 9.) m  KXF = ___180_____ 19.) m  CXH = ___ 180____ 10.) m  FXH = __ 90 ______ 20.) m  BXJ = ____ 90 ____ Station 4 – Complete each proof. 1. Given: _______________ Prove: _______________ 2. Given: __________________________ Prove: __________________________ Statements Reasons 1. __WE=ST_____ 1. ____GIVEN_______ 2. WE + ES = ST + ES 2. Addition Prop. 3. WE + ES = WS_ 3._Seg. Addition Post. ST + ES = ET__ 4. _WS=ET________ 4. __Substitution_____ Statements Reasons 1. AB=BD; BC=BD_____ 1. ___GIVEN________ 2. __AB=BC_________ 2. Substitution 3. __B IS MID. OF AC___ 3. def. of midpoint._____

3. Geometry/Trig 2Name: __________________________ Unit 2 Stations Review – page 3Date: ___________________________ Station 5– Complete each proof. Station 6– Complete each proof. 1. Given: ___________________________ Prove: ____________________________ 2. Given: __________________________. Prove: ______________ 1. Given: ___________________________ Prove: ____________________________ 2. Given: __________________________. Prove: ___________________________ Statements Reasons 1. _<1 and <3 are comp. <s__ 1._Given________ 2. m  1 + m  3 = 90 2. Def. of Comp. <s_ 3. m  1 = m  2 3. _Vertical < theorem___ 4. m  2 + m  3 = 90 4. Substitution__ 5. m  2 + m  3 = m  DCH 5. Angle Addition Post. 6 m  DCH = 90 6. _Substitution_ 7.  DCH is a right  7. _Def. of Right angle__ 8. __________________ 8._Def. of Perp. lines 1. __________________ 1. __GIVEN_______ 2.  BCD is a right  2.DEF. OF Perp. Lines 3. _m<BCD=90_____ 3. Def. of a right  4. m<BCF+m<FCD=m<BCD 4. Angle Add. Post. 5. m<BCF+m<FCD=90 5. Substitution 6. <BCF and <FCD are compl 6. _Def. of Comp. <s 1. __  2   3 ______ 1. Given 2. ____  3   4 _______ 2. Vertical angle thm. 3.  2   4 3. Substitution____ 4. _  4   5 _________ 4. Given. 5. ___  2   5 ________ 5. Substitution___ 1. _4x+3y=2x+1; y=-2_ 1._Given___________ 2. _4x-6=2x+1_____ 2. Substitution_____ 3. _2x-6=1_____ 3. _Subtraction_______ 4. 2x=7_________ 4. Addition__________ 5. x=3.5 ________ 5. Division___ 6. _________________ 7.  7. _________________ 8. _________________ NOTE: this proof will not necessarily take 8 steps.