In quadrilateral ACBD, AC=AD and AB bisects
(see figure). Show that
. What can you say about BC and BD?
Solution:
In
and
, we have
AC=AD (Given)
(Given)
AB=AB (Common)
Therefore, by SAS congruence rule,
.
BC would be equal to BD because these are corresponding parts of congruent triangles (
and
).
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