Question

Each diagonal of a parallelogram divides it into two congruent triangles, opposite sides of a parallelogram are are equal and opposite angles of parallelogram are equal. ​

Answer 1

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