The diagonals of rectangle ABCD intersect at E. Which of the following is NOT always true?

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Accepted Answer

Angles DCE and ECB are complementary angles; these angles combine to form right angle DCB of the rectangle. These angles are only equal if ABCD is a square. However, ABCD is a rectangle, and not all rectangles are squares. Therefore, it is not always true that angle DCE = angle ECB.

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