SOLUTION: given trapezoid abcd with diagonals ac and bd intercept at point e prove triangle dec is congruent to triangle bea

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Question 324750: given trapezoid abcd with diagonals ac and bd intercept at point e prove triangle dec is congruent to triangle bea
Answer by solver91311(24713) About Me  (Show Source):
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This can't be done in general. The two triangles described are NOT congruent in a general trapezoid. If the trapezoid is isosceles, meaning the base angles are of equal measure, then the diagonals are of equal measure and the congruence of the two described triangles follows easily.

John