MathematicsA photo frame is in the shape of a quadrilateral with one diagonal longer than the other. The name of the quadrilateral is ____.

A photo frame is in the shape of a quadrilateral with one diagonal longer than the other. The name of the quadrilateral is ____.


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    Solution:

    Geometric shapes with diagonals come in many different shapes. Parallelogram, square, rectangle, rhombus, etc. However, the state of the photo frame requires the diagonal lengths to be different. The length of the diagonals of a square and a rectangle are the same. So they are not the solution. The diagonals of a parallelogram also bisect each other. So the only shape with diagonals of different lengths is a rhombus. They can only be equal if all four sides of the square are the same length.
    The quadrilateral is therefore a rhombus.
     
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