Answer:
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First, plot the points and connect together in the given order.
See attached.
As we can see all sides are of different length but two sides seem to be parallel.
Let's find the slopes of segments BC and AD and compare:
- m(BC) = (3 - 5)/(5- 1) = - 2/4 = - 1/2
- m(AD) = (- 8 - (-4))/(5 - (-3)) = - 4 / 8 = - 1/2
As se see the slopes are same, so BC and AD are parallel.
Since we have a pair of parallel sides, the quadrilateral is a trapezoid.