A diagonal of parallelogram divides it i...

A diagonal of parallelogram divides it into two congruent triangles.

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`"Suppose ABCD is parallelogram and BD is the diagonal, then there are 2 triangles;"`
`/_\ABD and /_\CBD`
`AB=CD and AD=BC ("opposite sides of a parallelogram are equal")`
`BD " is the Common Side"`
`therefore /_\ABD cong /_\CBD(" By SSS Congruency")`
`"hence the given statement is true"`

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