Is a trapezoid a kite?
In general, a trapezoid is a 4-sided figure with one pair of parallel sides. The kite is a 4-sided figure with two pairs of directly connected equilateral sides, each pair being of different length. You can picture the kite by picturing the “traditional” kind of kite that flies. It is an “enlongated diamond” with the lower pair of sides longer than the top pair. Nowhere in the formula for a kite is there a provision for any two sides to be parallel. There cannot be. So a trapezoid, which has a pair of parallel sides, can’t be a kite.