Geometry

What type of quadrilateral is formed by connecting the points (0,0), (3x,b), (18x,b), and (15x,0)? How would I solve this?

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  1. Since x and b are supposed to be valid for any value, take x=b=2 (or any other number) and sketch the graph.
    If you recognize any shape, then use the properties of the shape to do the general proof.

    Example:
    for x=b=2, the points become:
    (0,0),(6,2),(36,2),(30,0)
    A sketch shows that it is a parallelogram.
    Now you will need to prove that the (general) quadrilateral is a parallelogram.
    Examples:
    - two pairs of parallel opposite sides
    - two opposite sides are parallel and equal

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