Geometry Chapter 4 Review Answers 
                           1.    1,2                                                     23.  x = 22, y = 13, z =3 
                           2.    complementary                                           24.     AN = 18,  AV  = 50 
                           3.    6                                                       25.  ASA or AAS 
                           4.    SSS, SAS, AAS, ASA, HL                                  26.  none 
                           5.    45                                                      27.  SAS 
                           6.     CW                                                     28.  ASA 
                           7.     ∠D                                                     29.  none 
                           8.     OL                                                     30.  HL or AAS 
                           9.     two congruent angles                                   31.  HL 
                           10.    
RPQ                                                   32.  AAS 
                           11.    
TAD                                                   33.  none 
                           12.    OP≅FL                                                  34.  HL 
                           13.    ∠P≅∠F                                                  35.  AAS 
                                                                                         36.  none 
                           14.    HO≅UL                                                  37.  acute scalene 
                           15.    OP≅UF OR HP≅FL                                         38.  equilateral/equiangular 
                           16.  x = 48°, y = 84°                                         39.  acute isosceles 
                           17.  x =64°, y = 64°                                          40.  obtuse scalene 
                           18.  x = 46°, y = 88°                                         41.    m∠I =102°, m∠R=42°, AI =18, 
                           19.  x = 68°, y = 13                                               m∠F=36°, m∠L=102°, FT =24, 
                           20.  w = 25°, x = 11, y = 4, z = 130°                              LT =12 
                           21.  x = 10, y = 15 
                           22.  x = 4, y = 20 
                            
                            
                           42.          Statements                                           Reasons                    
                               1.   RX ≅ TX                                         1.  Given 
                               2.  ∠2 ≅ ∠3                                          2.  Given 
                               3.   XY ≅ XW                                         3.  Base angle Converse 
                               4.  ∠RXY ≅ ∠TXW                                      4.  Vertical angles are Congruent 
                               5.  ∆RXY ≅ ∆TXW                                      5.  SAS 
                               6.  ∠1 ≅ ∠4                                          6.  CPCTC 
                            
                          43.          Statements                                          Reasons                   
                               1.   AB //CD                                       1.  Given 
                               2.   ∠2 ≅ ∠3                                       2.  Alternate Interior Angles are Congruent 
                               3.   DC ≅ BA                                       3.  Given 
                               4.   BD ≅ BD                                       4.  Reflexive 
                               5.  ∆BDA ≅ ∆DBC                                    5.  SAS 
                               6.  ∠1 ≅ ∠4                                        6.  CPCTC 
                               7.   AD//BC                                        7.  Alternate Interior Angle Converse 
                           
                           
                          44.          Statements                                          Reasons           
                               1.   EN  bisects ∠KEV                              1.  Given 
                               2.   ∠KEN ≅ ∠VEN                                   2.  Def. of Angle Bisector 
                               3.   EN ⊥ KV                                       3.  Given 
                               4.  ∠ENK &∠ENV are right angles                    4.  Def. of ⊥ 
                               5.  ∠ENK ≅ ∠ENV                                    5.  All right angles are congruent 
                               6.   EN ≅ EN                                       6.  Reflexive 
                               7.  ∆ ENK ≅ ∆ ENV                                  7.  ASA 
                               8.   KN ≅ NV                                       8.  CPCTC 
                           
                           
                          45.          Statements                                          Reasons                   
                               1.   MO ≅ PN                                       1.  Given 
                               2.   ∠1 ≅ ∠2                                       2.  Given 
                               3.   NO ≅ NO                                       3.  Reflexive 
                               4.  ∆MON ≅ ∆PNO                                    4.  SAS 
                               5.   MN  ≅ PO                                      5.  CPCTC 
                                
                           
                          46.    x =5                                                  48.    x = 26°, m∠A=80° 
                          47.    x =5°                                                 49.    x =3, QR =14