Quadrilateral ABCD has vertices at A(-7, 9), B(-6, 5), C(2, 0), and D(-3, 8). Describe the most specific classification of ABCD

Answer 1

Calculate B-A and A-D. Clearly, AB and DA are of equal length

Calculate D-C and C-B. Clearly, DC and CB are also of equal length.

Yet, BA and DC differ in length.

Thus, 2 pairs of adjacent sides have the same length, but the lengths of all 4 are not equal. This defines a kite.