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SAI International School
                                                      CLASS - X

               Mathematics
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               CHAPTER-6: Triangless-1
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               HOME ASSIGNMENT-1

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               SUBTOPIC : Similarity,BPT and Its Conversee

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                   1.  In the figure,if  POS ~   ROQ, prove that PS || QR.
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                   2.  In figure, AB || QR. Find the length of PB..

                       Ans.- 2

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               3. In the figure, express x in terms of a, b and c..

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               Ans.ac/b+c
                                                                       c
                                   , D
                                                                       c
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               4. In ∆ABC, AB=AC, D and E are points on AB and AC respectively such that AD=AE. Show that
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                                   , D
                                                                C
                                                                C
                                                                     p
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                                                                      e
                                                                     p
                                                                   e
                                                                    s
                                                                    s
                                                                                            E
                                                                                          A
                                                                                             . S
                                                                                            E
                                                                                          A
                                                                                       D
                                                                                       D
                                                                                         =
                                                                                         =
                                                                                                     ha
                                                                                                     ha
                                                                                                       t
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                                                                                                    t
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                                                                                                    t
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                                                                            y
                                                                                     t
                                                                                     t
                                                                                      A
                                                                                      A
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                         C
                         C
                                                 n
                                                 n
                                                   s
                       B
                               A
                                       nd E
                       B
                               A
                                                     o
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                              =
                                            a
                             B
                                             e
                                            a
                             B
                                            r
                                            r
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                                               poi
                                               poi
                              =
                          , A
                          , A


                      A
                                 C
                                                           a
                                                         B
                                                         B
                      A
                                 C
                                                            nd A
                                                            nd A
                                                           a


                                                      n A
                                       nd E
                                      a
                                      a
                                                      n A
               the points B, C, E and D are con cyclic.
                          , C
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                         B
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                                          on c
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