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Find parallelogram A(1,5),B(1,4),C(-1,3),D(-1,4)

Solution:
Your problem `->` parallelogram A(1,5),B(1,4),C(-1,3),D(-1,4)


Here `A(1,5), B(1,4), C(-1,3), D(-1,4)` are the given points


`AB^2 = (1-1)^2 + (4-5)^2 = (0)^2 + (-1)^2 = 0 + 1 = 1`

`CD^2 = (-1+1)^2 + (4-3)^2 = (0)^2 + (1)^2 = 0 + 1 = 1`

`BC^2 = (-1-1)^2 + (3-4)^2 = (-2)^2 + (-1)^2 = 4 + 1 = 5`

`AD^2 = (-1-1)^2 + (4-5)^2 = (-2)^2 + (-1)^2 = 4 + 1 = 5`

`:. AB^2=CD^2` and `BC^2=AD^2`

`:. AB=CD` and `BC=AD`

A quadrilateral, in which opposites sides are equal, is a parallelogram
`:.` ABCD is a parallelogram








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