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It is an inscribed quadrilateral or cyclic quadrilateral.
a quadrilateral
Because it looks like a 'circus trapeze'. The suffix ' ---oid' means 'like'. So 'trapezoid' means 'trapeze like'. A trapezium is a quadrilateral, consisting of two parallel lines, but of different length. The connecting lines, to make it a quadrilateral are NOT parallel,
It is a question of definition. In general language the word quadrilateral has different meanings. In general it is good to discern 3 options: 1. a figure consisting of 4 points is often called (complete) quadrangle, 2. a figure consisting of 4 lines is often called (complete) quadrilateral, 3. a figure consisting of 4 points consecutively and cyclically connected by 4 lines is best called tetragon or quadrigon.
that quadrilateral would be called a trapezoid. :)