given the verticies a(4,7) b(8,3) c(6,-1) and d(0,5) prove abcd is a trapezoid
We only need to show that two sides are parallel
The slope between (0,5) and (6, -1) = [-1 - 5] / [6 - 0] = -6/6 = -1
And the slope between (8,3) and (4,7) = [7 - 3] / [ 4 - 8] = 4/-4 = -1
So AB ll CD
Also the distance between AD and BC are equal, so this is an isoceles trapezoid.
Here's a pic......
We only need to show that two sides are parallel
The slope between (0,5) and (6, -1) = [-1 - 5] / [6 - 0] = -6/6 = -1
And the slope between (8,3) and (4,7) = [7 - 3] / [ 4 - 8] = 4/-4 = -1
So AB ll CD
Also the distance between AD and BC are equal, so this is an isoceles trapezoid.
Here's a pic......