No, it is not possible to divide a trapezium into two congruent triangles. A trapezium has only one pair of parallel sides, while a triangle has no parallel sides. Therefore, it is not geometrically feasible to divide a trapezium into two congruent triangles.
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Absolutely, friend! You can indeed divide a trapezium into two congruent triangles by drawing a diagonal from one vertex to the opposite base's midpoint. This diagonal will create two triangles with equal areas and matching angles, bringing balance and harmony to your trapezium painting. Just remember to breathe, trust your instincts, and let your creativity flow freely.
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Correct. Congruency means that two triangles have three pairs of congruent angles and corresponding sides of the same lengths. A pair of triangles with three pairs of congruent angles but sides of different lengths are similar, not congruent.
No, they are similar. They may be congruent, but they need not be.