Ok so it goes like this Given Kite ABCD and AB congruent to CB , AD Congruent to CD, and the diagonals intersect at point E. Prove triangle AEB congruent to triangle CEB. Im suck trying to figure out how to prove those 2 triangles are right triangles first...I'm not even sure :S
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From the given the sides of angle B are congruent and that of angle D. The diagonal AC creates two isosceles triangles ABC & ADC. Diagonal BC bisects angle B & D and diagonal AC and forms right angles at point E since vertex B and midpoint E forms a segment perpendicular to diagonal AC therefore AB=BC, AE=CE AND BE=BE by SSS they are congruent or angle AEB and CEB are right angles the triangles are congruent since the two sides of a right angles are congruent then the triangles are congruent (SAS too).