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## Answers

Given,AC=BD

We know,AB=CD(opposite sides of parallelogram are equal)

BC=BC

According to SSS congruence rule

ΔABC congruent to ΔDCB

So, angle ABC= angle DCB (CPCT)

angle ABC+angle DCB=180(co-interior angles)

2*(angle ABC)=180(ABC+DCB)

angle ABC=90

So ABCD is a rectangle.