ABCD is a quadrilateral in which
and
(see Fig). Prove that
(i)
(ii)
(iii)
.
Solution (i)
In
and
we have,
AB=BA (Common)
(Given)
AD=BC (Given)
Therefore, by SAS rule,
Solution (ii)
From Solution (i), we know that by SAS rule,
Therefore, BD=AC. (Corresponding Parts of Congruent Triangles)
Solution (iii)
From Solution (i), we know that by SAS rule,
Therefore,
(Corresponding Parts of Congruent Triangles)
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