given the verticies a(4,7) b(8,3) c(6,-1) and d(0,5) prove abcd is a trapezoid

Guest Apr 21, 2015

#1**+5 **

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......

CPhill
Apr 21, 2015

#1**+5 **

Best Answer

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......

CPhill
Apr 21, 2015