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Use the flowchart to identify quadrilaterals based on their properties.

Mathematics

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Step-by-step solution

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  1. Path with 4 right angles = yes and all sides same length = yes.

    Square

    Square\boxed{\textbf{Square}}

  2. Path with 4 right angles = yes and all sides same length = no.

    Rectangle

    Rectangle\boxed{\textbf{Rectangle}}

  3. Path with 4 right angles = no, opposite angles equal = yes, and all sides same length = yes.

    Rhombus

    Rhombus\boxed{\textbf{Rhombus}}

  4. Path with 4 right angles = no, opposite angles equal = yes, and all sides same length = no.

    Parallelogram

    Parallelogram\boxed{\textbf{Parallelogram}}

  5. Path with 4 right angles = no, opposite angles equal = no, and two pairs of adjacent sides equal length = yes.

    Kite

    Kite\boxed{\textbf{Kite}}

  6. Path with 4 right angles = no, opposite angles equal = no, and two pairs of adjacent sides equal length = no.

    Trapezoid

    Trapezoid\boxed{\textbf{Trapezoid}}
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