A rhombus is a quadrilateral with all sides of equal length. In order to prove that ABCD is a rhombus, we need to show that all four sides of ABCD are equal in length.
Let's consider the sides of ABCD:
Side AB: Since ABCD is a rhombus, all sides are of equal length. Therefore, AB = BC.
Side BC: Similarly, AB = BC.
Side CD: Since opposite sides of a rhombus are parallel, CD is parallel to AB. Also, CD = AB. Therefore, CD = AB.
Side AD: Similarly, CD = AD.
Based on the above information, we can conclude that all four sides of ABCD are equal in length, thereby proving that ABCD is a rhombus.
ABCD is a rhombus. Explain why .
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