Kuta Software - Infinite Geometry                                                                                                                                                          Name___________________________________
                         Similar Triangles                                                                                                                                                                                                               Date________________  Period____
                         State if the triangles in each pair are similar.  If so, state how you know they are similar and complete the
                         similarity statement.
                         1)                                                                                                                                                                       2)  
                                                                                      D                                                                                                                                                     A
                                                                                                                                                                                                                                                                 H
                                                                                 16                                                                                                                                    84                                                       14
                                                                                                                                                                                                                                               72          12
                                                            39
                                   S                                                                                          E
                                                                                         U             16                                                                                                                                                    G             8             F
                                                                                                                                                                                                            C                48                 B
                                                                                        40                                                                                                                   
                                                                                                                                                                                                            ∆CBA ~ ______
                                                                                    T
                                    
                                   ∆UTS ~ ______
                         3)                                                                                                                                                                       4)  
                                                                                                                            T                                                                                         V
                                                                                               49
                                                         14
                                   M
                                                                              V           28               U                                                                                                U                                        T
                                                                      8
                                                          L                                                                                                                                                                            J
                                    
                                   ∆VUT ~ ______
                                                                                                                                                                                                            L                                       K
                                                                                                                                                                                                             
                                                                                                                                                                                                            ∆JKL ~ ______
                         5)                                                                                                                                                                       6)  
                                   U                                                            T                                                                                                                    88
                                                                                                                                                                                                                                             L
                                                                                                                                                                                                                      16 B
                                                                                                                                                                                                             K                                  C                   M
                                                                                                                                                                                                                               25                     107
                                                                                                                                                                                                             
                                                                       S                                                                                                                                    ∆KLM ~ ______
                                            C                                          B
                                    
                                   ∆STU ~ ______
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                         7)                                                                                                                                                                       8)  
                                                                                            U                                                                                                                                                                                                        F
                                                                                                                                                                                                                            B                      E
                                                                                                                                                                                                                                                                                  G
                                                            84
                                                                                            70
                                                                                                                                                                                                            C
                                                                                                                                                                                                             
                                                                                                                                                                                                            ∆EFG ~ ______
                                      V                       42                         T
                                      Q                           25
                                                                                                R
                                   15
                                                                    30
                                      S
                                    
                                   ∆TUV ~ ______
                         9)                                                                                                                                                                       10)  
                                                            S                                                                                                                                                                       U
                                                                                                                                                                                                                                       76°                    18
                                                                                                                                                                                                                               9
                                                                                                                                                                                                                           W                                                           V
                                             61°
                                   T                                                                           F                                                                                                                                                                                 H
                                                       H                                                                                                                                                        G
                                                              61°
                                                                                                                                                                                                                                                                                             21
                                                                                                                                                                                                                                                42
                                                          G                                                                                                                                                                                                                    76°
                                    
                                   ∆HGF ~ ______                                                                                                                                                                                                                                      F
                                                                                                                                                                                                                 
                                                                                                                                                                                                                ∆FGH ~ ______
                         11)                                                                                                                                                                      12)  
                                                                                            143                                                                                                                                                9
                                                                                                                                                                                                                         E                                           C
                                                                                                     R                91
                                              F                                                                                               E
                                                                               44                                                                                                                                                                              10
                                                               S                                               121                                                                                                                                  D
                                                88
                                                                   56                                                                                                                                                              V
                                                                              D
                                        
                                       ∆FED ~ ______                                                                                                                                                                 27
                                                                                                                                                                                                                T                            30                              U
                                                                                                                                                                                                                 
                                                                                                                                                                                                                ∆TUV ~ ______
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                         Find the missing length.  The triangles in each pair are similar.
                         13)                                                                                                                                                                      14)  
                                               L                                                                                                                                                                                  U               ?              T
                                                                   28
                                                                                                                                                                                                                              60
                                                              35°
                                               K                 ?                 J
                                                                                                                                                                                                                                 V
                                       R
                                                                                                                                                                                                                K                                                             M
                                                                  42
                                                                                                                                                                                                                            130                                  117
                                                                    35°
                                       Q                                                  P                                                                                                                                                       L
                                                                33
                         15)                                                                                                                                                                      16)  
                                                                                                                             S                                                                                                     9            V 9                 Q
                                                                                                                                                                                                                   P
                                                                                                                             ?
                                                                                                                                                                                                                                              6
                                                                                                                            B                                                                                                     ?                                  12
                                                                                                                                        12
                                                                                                                                                                                                                                              W
                                                                                                                                                                                                                                 22                                 R
                                       T                                   C                                            U
                                                         18                                      6
                         Solve for x.  The triangles in each pair are similar.
                         17)                                                                                                                                                                      18)  
                                                          11x − 4                                                                                                                                                                                            A
                                       S                                                    R
                                                                                                                                                                                                                                                            77
                                          70                                                                                                                                                                    C
                                                                                                                                                                                                                             11x + 11                     B
                                                     T                                                                                                                                                                   D
                                                                      B
                                                                                                                                                                                                                       30
                                                                               60
                                                                                                                                                                                                                             E          21             F
                                               D                 50                 C
                         19)                                                                                                                                                                      20)  
                                                                                 64                                                                                                                                                    V
                                                                −4 + 4x U                                                                                                                                       5x + 11                                   88
                                                       J                                                      K
                                                                  36                                                                                                                                                 U                                                    W
                                                    27
                                       72                                                                                                                                                                                                    24
                                                      T                               96                                                                                                                                   S                                      T
                                                                                                                                                                                                                          18
                                                        L                                                                                                                                                                       U
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                         Kuta Software - Infinite Geometry                                                                                                                                                           Name___________________________________
                         Similar Triangles                                                                                                                                                                                                                Date________________  Period____
                         State if the triangles in each pair are similar.  If so, state how you know they are similar and complete the
                         similarity statement.
                         1)                                                                                                            not similar                                                2)                                                                                              similar; SSS similarity; ∆FGH
                                                                                      D                                                                                                                                                     A
                                                                                                                                                                                                                                                                 H
                                                                                 16                                                                                                                                    84                                                       14
                                                                                                                                                                                                                                                72          12
                                                             39
                                   S                                                                                          E
                                                                                          U             16                                                                                                                                                   G              8             F
                                                                                                                                                                                                            C                 48                 B
                                                                                        40                                                                                                                   
                                                                                                                                                                                                            ∆CBA ~ ______
                                                                                    T
                                    
                                   ∆UTS ~ ______
                         3)                                                                                                          similar; SAS similar4it)y  ; ∆VLM                                                                                           similar; AA similarity; ∆TUV
                                                                                                                             T                                                                                        V
                                                                                               49
                                                         14
                                   M
                                                                              V            28               U                                                                                               U                                         T
                                                                      8
                                                          L                                                                                                                                                                            J
                                    
                                   ∆VUT ~ ______
                                                                                                                                                                                                            L                                        K
                                                                                                                                                                                                             
                                                                                                                                                                                                            ∆JKL ~ ______
                         5)                                                                              not similar                                                                              6)                                                                          not similar
                                   U                                                            T                                                                                                                     88
                                                                                                                                                                                                                                              L
                                                                                                                                                                                                                       16 B
                                                                                                                                                                                                             K                                   C                  M
                                                                                                                                                                                                                                25                    107
                                                                                                                                                                                                             
                                                                       S                                                                                                                                    ∆KLM ~ ______
                                            C                                           B
                                    
                                   ∆STU ~ ______
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