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

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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
+85675
+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
Sort:

#1
+85675
+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

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