SOLUTION: I have no idea how to do these, please show me, thank you ``Given: K(0, 4), A(3, 6), T(6, 2), E(0, -2) Prove: KATE is a trapezoid Find the slope of all 4 sides- show all work

Algebra ->  Linear-equations -> SOLUTION: I have no idea how to do these, please show me, thank you ``Given: K(0, 4), A(3, 6), T(6, 2), E(0, -2) Prove: KATE is a trapezoid Find the slope of all 4 sides- show all work      Log On


   

Question 940814: I have no idea how to do these, please show me, thank you
``Given: K(0, 4), A(3, 6), T(6, 2), E(0, -2)
Prove: KATE is a trapezoid
Find the slope of all 4 sides- show all work
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
K(0,+4), A(3, 6), T(6, 2), E(0, -2)
Well, trapezoids have two sides that are parallel to each other. So, find the slope between points K & A and between points T & E . They should be the same, which means they're parallel.

Solved by pluggable solver: Finding the slope


Slope of the line through the points (0, 4) and (3, 6)



Answer: Slope is m+=+2%2F3




Solved by pluggable solver: Finding the slope


Slope of the line through the points (6, 2) and (0, -2)



m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29


m+=+%28-2+-+2%29%2F%280+-+6%29


m+=+%28-4%29%2F%28-6%29


m+=+2%2F3



Answer: Slope is m+=+2%2F3



the slopes are same which means the sides are parallel, and KATE is a trapezoid
to see it on a graph, we nee to plot all points on a graph and connect them
K(0,+4), A(3, 6), T(6, 2), E(0, -2)