SOLUTION: given :segment BC is congruent to segment BA segment CD is congruent to segment AD prove triangle ABD is congruent to triangle CBD

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Question 1007077: given :segment BC is congruent to segment BA
segment CD is congruent to segment AD
prove triangle ABD is congruent to triangle CBD
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Use the fact that in isosceles triangle the altitude drawn to the base coincides with the median drawn to the base
(see the lesson An altitude a median and an angle bisector in the isosceles triangle in this site).

The quadrilateral ABCD with such properties is called kite.