Prove that the bisectors of the interior angles of a rectangle form a square.
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The angle bisectors will always be 45 degrees from both sides of each corner of the rectangle. Angles A ,B, C, and D will all be 90 degrees, because the other two angles in the triangles are 45 degrees. ... To show ABCD is a square show AB = BC, and since it is a rectangle already we know AB = CD and BC = AD.
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Answer. The angle bisectors will always be 45 degrees from both sides of each corner of the rectangle. Angles A ,B, C, and D will all be 90 degrees, because the other two angles in the triangles are 45 degrees. ... To show ABCD is a square show AB = BC, and since it is a rectangle already we know AB = CD and BC = AD.
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