It is known that the coordinates of the four vertices of the quadrilateral ABCD are a (1.2), B (4.3), C (3.6), D (0.5). Judge whether the quadrilateral ABCD is a square and explain the reason

It is known that the coordinates of the four vertices of the quadrilateral ABCD are a (1.2), B (4.3), C (3.6), D (0.5). Judge whether the quadrilateral ABCD is a square and explain the reason

1. First calculate the side length, and get: | ab | = | BC | = | CD | = | ad | = √ 10, then: [quadrilateral ABCD is diamond]
2. After calculating the diagonal length, we get: | AC | = | BD | = √ 20
The diamond with the same diagonal is a square

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