Kuta Software - Infinite Geometry                                                                                                                                                           Name___________________________________
                        2.1 KEY
                          Naming Angles                                                                                                                                                                                                                    Date________________  Period____
                          Name the vertex and sides of each angle.
                          1)                                                                                                                                                                       2)  
                                                                                                                                                                                                                  E
                                                                               L                                                                                                                                                              D
                                                                    M                                                                                                                                                           C
                                         N                                                                                                                                                                         D, DC and DE
                                         M, MN and ML
                          3)                                                                                                                                                                       4)  
                                                           R                                                                                                                                                    T
                                                                                                                                                                                                                                         U
                                    S
                                                              Q                                                                                                                                              S
                                         R, RQ and RS                                                                                                                                                              T, TU and TS
                          Name each angle in four ways.
                          5)                                                                                                                                                                       6)  
                                                                                                                                                                                                                  F
                                                               C
                                                                                                                                                                                                                      4
                                                                                                                                                                                                                                       E
                                                       3 D                                                                                                                                                   G
                                                                                                                                                                                                                   ∠F, ∠4, ∠EFG, ∠GFE
                                           E
                                         ∠D, ∠3, ∠EDC, ∠CDE
                          7)                                                                                                                                                                       8)  
                                    F                          G                                                                                                                                                     J
                                          1
                                                                                                                                                                                                                              3 I
                                        E
                                         ∠F, ∠1, ∠GFE, ∠EFG
                                                                                                                                                                                                                                     H
                                                                                                                                                                                                                   ∠I, ∠3, ∠HIJ, ∠JIH
                          Draw and label an angle to fit each description.
                          9)  an obtuse angle, ∠Y                                                                                                                                                  10)  an acute angle, ∠JIH
                                                                                                                                                                                                                                                                                  H
                          11)  a right angle, ∠3                                                                                                                                                   12)  a straight angle, ∠CDE                                                                            J
                                                                                              3Y
                                                                                                                                                                                                                                                                                       I E
                          Name all the angles that have V as a vertex.                                                                                                                                                                                                                                   D
                                                                                                                                                                                                                                                                                                                         C
                          13)                                                                                                                                                                      14)  
                                                             V                          J
                                                                   5                                                                                                                                                                                F
                                                              6                                                                                                                                                                E
                                       H
                                                                                                                                                                                                                                       2 3
                                                                     I                                                                                                                                                                            V
                                                                                                                                                                                                                      D
                                         ∠5, ∠6, ∠JVH                                                                                                                                                              ∠2, ∠3, ∠DVF
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                          15)                                                                                                                                                                       16)  
                                                                    T
                                          V                                                                                                                                                                                           E              F
                                                   1
                                              2
                                                                                                                                                                                                                                               4
                                                                                                                                                                                                                                           3
                                                            S                                                                                                                                                                                      V
                                        R                                                                                                                                                                              D
                                         ∠1, ∠2, ∠TVR                                                                                                                                                               ∠3, ∠4, ∠DVF
                          17)                                                                                                                                                                       18)  
                                                                 M                                                                                                                                                                                 H
                                                     L                                                                                                                                                                             G                            I
                                                                4                                                                                                                                                                                 3
                                                              3                                                                                                                                                                               2
                                                                         V                                                                                                                                                                 1
                                             K                                                                                                                                                                         F                           V
                                         ∠3, ∠4, ∠KVM                                                                                                                                                               ∠1, ∠2, ∠3, ∠FVH, ∠FVI, ∠GVI
                          19)                                                                                                                                                                       20)  
                                                      V                           I                                                                                                                                                               E
                                                                2                                                                                                                                                                                              F
                                                       43                                                                                                                                                                     D
                                                                                                                                                                                                                                                  5
                                        F                               H                                                                                                                                                                     4
                                                                                                                                                                                                                                       3
                                                       G                                                                                                                                                               C                           V
                                         ∠2, ∠3, ∠4, ∠IVG, ∠IVF, ∠HVF                                                                                                                                               ∠3, ∠4, ∠5, ∠CVE, ∠CVF, ∠DVF
                          State if the given point is interior, exterior, or on the angle.
                          21)                                                                                                                                                                       22)  
                                                                     P
                                                                                                                                                                                                                           P
                                                                                                                                                                                                                    Interior
                                         Exterior
                          23)                                                                                                                                                                       24)  
                                                      P
                                                                                                                                                                                                                            P
                                                                                                                                                                                                                    On the angle
                                         Exterior
                          25)                                                                                                                                                                       26)  
                                                                        P
                                         Interior                                                                                                                                                                                                          P
                                                                                                                                                                                                                    Exterior
                          Critical thinking questions:
                          27)  Draw a diagram with an acute angle ABC                                                                                                                               28)  In question #29, why is it impossible for
                                        and an obtuse angle DBE so that point D is                                                                                                                                both point D and point E to be in the
                                        in the interior of angle ABC.                                                                                                                                             interior of angle ABC?
                                         Answers vary                                                                                                                                                               Because angle ABC is smaller than angle DBE
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                                                                                                                                                                              Infinite Geometry
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