It can be but it need no be. The names of the shapes give no information about their sizes.
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Yes, a trapezoid is a quadrangle because a quadrangle has four sides and a trapezoid has four sides.
a triangle is a polygon with 3 sides
give me incircle radius of a quadrangle
How do you find the area of an unequal quadrangle?
The sum of the angles in a quadrangle is 360 degrees.