• Answer of this question

    prove if one angle subtended by two chords of a circle equal the chord
    Ani Patel's image
    Ani Patel

    WIN_20200104_12_00_24_Pro.jpgin this circle the angle AOB and angle DOC are equal as it is given

    to prove that the chords are equal we have to show that the triangles,AOB and DOC are congruent.

    therefore,in triangle AOB and DOC,

    AO=DO (radius)

    angle AOB=angle DOC (given)

    BO=CO  (radius)

    therefore,Triangle AOB and triangle DOC are congruent by SAS congruence criterion 

    thus,AB=DC by CPCT(Congruent Parts of Congruent Triangles)

    Written on Jan. 4, 2020, 1:42 p.m.

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