Plot the following points in the coordinate plane; A (-5, -2), B (1, -2), C (6, 4), D (0, 4). Join the points to get AB, BC, CD, and DA. Name the figure formed so obtained.
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Step-by-step explanation:
AB║CD , AB lies on the line y = - 2 and CD lies on the line y = 4 ; AB = CD = 6.
= (4 - (- 2)) / (6 - 1) = 6/5
= (-2 - 4) / (-5 - 0) = 6/5
AD = √[(-5-0)² + (-2-4)²] = √(25 + 36) = √61
BC = √[(1-6)² + (-2-4)²] = √(25 + 36) = √61
AD║BC and AD = BC.
Thus, ABCD is a parallelogram.
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