Page 28 - Mathematics_Form_Two
P. 28

Congruence


            Exercise 2�1
            1.  Use the following figure to prove
                      ˆ
                that ABD ACE.=  ˆ



          FOR ONLINE READING ONLY
     Mathematics for Secondary Schools  2.  If e =  , d  use the following figure to   6.  In the following figure, if AC


                                                                    ˆ
                                                           bisects  BAQ,  prove that  x = z.





                prove that ab=
                               .




                                                       7.  In the following figure, if x = 2a,
                                                           prove that a = b



            3.  If a c=  , use the following figure to

                prove that  x y=  .







                                                       8.  Prove that the sum of interior angles
                                                           of a quadrilateral is equal to four
                                                           right angles.

            4.  Use the following figure to prove      9.  Use the following figure to answer
                that a c=  , if   d += 180 .°              the questions that follow.
                                 y











            5.  Use the following figure to prove
                      ˆ
                              ˆ
                that  BCD =  EDC CBA.+  ˆ                 (a)  Prove that if   x =  , y  then  ab= .


                                                    22
                                                                            Student's Book Form Two


                                                                                          11/10/2024   20:11:14
     MATHEMATIC F2 v5.indd   22
     MATHEMATIC F2 v5.indd   22                                                           11/10/2024   20:11:14
   23   24   25   26   27   28   29   30   31   32   33