Why Don't Rectangle Diagonals Bisect Angles?

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The diagonals of a rectangle do bisect each other but do not bisect the angles due to the properties of right triangles formed by the diagonals. When a diagonal is drawn, it creates two right triangles, and for the angles to be equal, specific conditions must be met that are not satisfied in a rectangle. The angles at the corners of a rectangle remain right angles, which means they do not change when the diagonal is drawn. Understanding the relationship between the angles and the properties of right triangles clarifies this concept. Thus, while diagonals bisect each other, they do not bisect the angles of the rectangle.
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Diagonals of a Rectangle?

Why don't the diagonals of a rectangle bisect the angles? This may seem so easy, but I'm having difficult time understanding it...I'm confused because I know that the digonals of a rectangle bisect each other...so then why don't the angles do the same? Pls. Help! THX:smile:
 
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Well draw a rectangle and draw in a diagonal.

Now you have two right triangles to work with. Now just see what has to be true if the two angles are to be equal.
 
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