+28 Knowing the points A(2, 1), B(8, 3), C(4, −5), and D(10, −3), and that segment AB parallel to segment CD , what is the length of segment AB and segment CD comma and do points A, B, C, and D form a parallelogram?
Hint: To prove these points form a parallelogram, segment AB and segment CD must be equal in length.
segment AB equals six and segment CD equals six semicolon therefore, ABCD is a parallelogram.
segment AB equals two square root of 13 end square root and segment CD equals two square root of 10 end square root semicolon therefore, ABCD is not a parallelogram.
segment AB equals two square root of 10 end square root and segment CD equals two square root of 10 end square root semicolon therefore, ABCD is a parallelogram
segment AB equals square root of 52 end square root and Segment CD equals two square root of five end square root semicolon therefore, ABCD is not a parallelogram.
