a diagonal of a parallelogram divides it into two congruent triangles
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Since, both these triangles are congruent. So, all the corresponding sides and angles of one triangle are equal to that of the other. And AB = CD. Therefore, it is proved that the diagonal of a parallelogram divides it into two congruent triangles and also opposite sides of a parallelogram are equal.
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Chess is a board game for two players. It is played in a square board, made of 64 smaller squares, with eight squares on each side. Each player starts with sixteen pieces: eight pawns, two knights, two bishops, two rooks, one queen and one king.
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