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Congruence


            Exercise 2�5

            1.  In the following figure,  AC = BD,
                prove that  ABD   BAC.



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                                                                                                     Mathematics for Secondary Schools
                                                       6.  Use the following figure to prove
                                                           that  BE = CD.




            2.  Use the following figure to prove
                that AB is parallel to  DC.






                                                       7.   If N is the foot of the perpendicular
                                                           from the centre O of a circle to a
                                                           chord AB, prove that AN = NB.
            3.  In the following figure BF = CE,
                prove that CF = BE.                    8.  Use the following figure to prove
                                                                 ˆ
                                                           that ACB BDA.=  ˆ   if AC = BD










            4.  In the following figure, prove that
                                        ˆ
                              ˆ
                AC bisects  BAD  and BCD.
                                                       9.  In the following figure AC BC=   and
                                                          DE =  FE,  prove that CD EB.=











            5.  Use the following figure to prove
                that PA = PB.




                                                    33
           Student's Book Form Two


     MATHEMATIC F2 v5.indd   33                                                           11/10/2024   20:11:24
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