Look in your math book. Square = side^2, parallelogram = base*height, etc.
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No, because an octagon has 8 sides, whereas a quadrilateral has only 4 sides.
No, because a quadrilateral has 4 sides, whereas a triangle has only 3 sides.
No, a octagon has 8 sides, and a quadrilateral has only 4.
A polygon has 4 sides if and only if it is a quadrilateral.
Yes, a trapezoid is a quadrilateral with only one pair of parallel sides.