Page 96 - Math Course 1 (Book 2)
P. 96

Relationships in Angles






                      Let’s Begin                           Your Turn!

                                                           Perpendicular Lines


        Interpret Figures
                                                                                     C
           Examples                                                      B


                                                                               5x o
                                                                           4x o      F

                                                                    B                             D




                                                                                     E



                                                           Algebra       ↔      ↔
                                                           Find x is so that AD and CE are perpendicular
         A. Determine whether the following statement can   A.  x = 5
         be justif ed from the f gure below. Explain.      B.  x = 10
         m∠VYT = 90                                        C.  x = 15
                                                           D.  x = 20
         The diagram is marked to show that VY ⊥ XT.
         From the def nition of perpendicular, perpendicular   Answer
         lines intersect to form congruent adjacent angles.
                                  ↔      ↔                 Perpendicular Lines
                              Yes; VY and TX are
            Answer
                                perpendicular.



         B. Determine whether the following statement can
         be justif ed from the f gure below. Explain.
         ∠TYW and ∠TYU are supplementary.


                         Yes, they form a linear pair of
            Answer
                                    angles.


         C. Determine whether the following statement can
         be justif ed from the f gure below. Explain.
         ∠VYW and ∠TYS are adjacent angles.

                                                            A. Determine whether the statement m∠XAY = 90
                            No, they do not share a              can be assumed from the f gure.
            Answer
                                common side.
                                                            A. yes
                                                            B. no



                                                              Answer



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