Question

ABCD is a quadrilateral in which AB=CD and AD=BC. Show that it is a parallelogram.

Answer 1

ABCD is a quadrilateral in which AB=CD AND AD= BC now draw a diagonal joining B toD then we got 2 triangles ABD and BCD now we can prove them congurent triangle by SSS congurency and by CPCT we can equal alternate interior angle hence we can say lines are parallel to each other and given that opp. sides are equal hence proved