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Question 12 (iv)
ABCD is a trapezium in which AB || CD and AD =BC (see the given figure). Show that Diagonal AC=diagonal BD.



 


Solution

In ΔABC and  ΔABD,
AB=BA  (Common side)
BC=AD  (Given)
B=A (Proved before)
ΔABCΔABD (SAS congruence rule).

ΔABCΔBAD.
Hence , AC = BD [CPCT].

Mathematics
DUMMY
Standard IX

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