To construct quadrilateral ABCD with specified lengths for sides AB, BC, CD, and diagonals AC and BD, start by drawing triangle ABC with the given lengths for sides AB and BC. Use the length of AC to find point C, ensuring that it connects to the endpoint of BC. From point A, draw line segment AD such that it matches the length of AD, then connect point C to point D to complete the quadrilateral, ensuring that the length CD is also as specified. Make sure to use a compass and straightedge for accurate measurements.
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