Kuta Software - Infinite Geometry                                 Name___________________________________
         Properties of Rhombuses
                                                                                        Date________________  Period____
         Find the measure indicated.
         1)                                                          2)  
                          X                                                     E
                                    ? 
             W                         Y
                 68°
                                                                                   60°
                                                                        D
                                                                                        B
                                                                            ? 
                          Z
                                                                                C
         3)  EK = 9                                                  4)  LN = 38     
                                F                                                             L
             Find EG                                                    Find BN
                         E             G
                                                                                     K                  M
                                 K
                                                                                             B
                                D
                                                                                              N
         5)                                                          6)  
                          U                                                         S
                         106°
             T                          V
                                    ? 
                                                                             ? 
                                                                        R                       P
                          W
                                                                                   80°
                                                                                    Q
         7)                                                          8)  
                         G                                                           W
                                                                                             ? 
                                                                        V                          T
             F                        H
                                                                                             6
                                                                                     U
                                 ? 
                  21
                         E
                                                                                                              Worksheet by Kuta Software LLC
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                                                                   -1-
         Solve for x.
         9)                                                          10)  
                          E                                                             V
                                                                                     99x + 1
             F                          H
                  8x - 3
                                                                          U                           W
                                                                                               40°
                         106°
                          G
                                                                                        X
         11)                                                         12)  
                        U                                                              C
                                                                                8
              V                    T
                                                                          B                         D
                  19
                              4x - 1
                                                                             x + 1
                        W
                                                                                       E
         Find the measure indicated.
         13)  Find m T                                               14)  Find m RST
                                                                           
                        V                                                          T
                                                                                             Q
              U                  S
                                                                          S
                  12x - 5
                                                                             5x - 5
                                                                                 5x + 10
                       14x
                        T
                                                                                   R
         15)  Find KL                                                16)  Find KL
                                                                           
                           M                                                       K
                 -3 + 6x
                                 1 + 5x
                                                                          2x + 20
              L
                                        J
                                                                          J                  L
                           K
                                                                           x + 20
                                                                                   M
                                                                                                              Worksheet by Kuta Software LLC
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                                                                   -2-
         Kuta Software - Infinite Geometry                                 Name___________________________________
         Properties of Rhombuses
                                                                                        Date________________  Period____
         Find the measure indicated.
         1)                                                          2)  
                          X                                                     E
                                    ? 
             W                         Y
                 68°
                                                                                   60°
                                                                        D
                                                                                        B
                                                                            ? 
                          Z
               68°
                                                                                C
                                                                          60°
         3)  EK = 9                                                  4)  LN = 38     
                                F                                                             L
             Find EG                                                    Find BN
                         E             G
                                                                                     K                  M
                                 K
                                                                                             B
                                D
                                                                                              N
               18
                                                                          19
         5)                                                          6)  
                          U                                                         S
                         106°
             T                          V
                                    ? 
                                                                             ? 
                                                                        R                       P
                          W
                                                                                   80°
               37°
                                                                                    Q
                                                                          50°
         7)                                                          8)  
                         G                                                           W
                                                                                             ? 
                                                                        V                          T
             F                        H
                                                                                             6
                                                                                     U
                                 ? 
                  21
                                                                          6
                         E
               21
                                                                                                              Worksheet by Kuta Software LLC
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                                                                   -1-
         Solve for x.
         9)                                                          10)  
                          E                                                             V
                                                                                     99x + 1
             F                          H
                  8x - 3
                                                                          U                           W
                                                                                               40°
                         106°
                          G
                                                                                        X
               5
                                                                          1
         11)                                                         12)  
                        U                                                              C
                                                                                8
              V                    T
                                                                          B                         D
                  19
                              4x - 1
                                                                             x + 1
                        W
                                                                                       E
               5
                                                                          7
         Find the measure indicated.
         13)  Find m T                                               14)  Find m RST
                                                                           
                        V                                                          T
                                                                                             Q
              U                  S
                                                                          S
                  12x - 5
                                                                             5x - 5
                                                                                 5x + 10
                       14x
                        T
                                                                                   R
               70°
                                                                          110°
         15)  Find KL                                                16)  Find KL
                                                                           
                           M                                                       K
                 -3 + 6x
                                 1 + 5x
                                                                          2x + 20
              L
                                        J
                                                                          J                  L
                           K
                                                                           x + 20
               21
                                                                                   M
                                                                          20
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                                                                                                              Worksheet by Kuta Software LLC
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                                                                   -2-