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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

In the figure, As AC and BD bisect each other Therefore, AC and BD are the diagonals of the parallelogram. > ABCD is a parallelogram > angle A = angle C angle B = angle D But, ABCD is a cyclic quadrilateral Therefore, angle A + angle C = 180 degree angle B + angle D = 180 degree > 2 angle A = 180 degree 2 angle B = 180 degree > angle A = 90 degree angle B = 90 degree So, angle A = angle B =angle C = angle D = 180 degree

Therefore, ABCD is a rectangle and diagonals AC and BD are diameters.