Answer:
Proved
Step-by-step explanation:
Given




Required
Prove BUGS is a trapezoid
Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.
<u></u>
<u>Taking BU and GS as a pair</u>
First, we calculate the slope using:

For BU
--- 
--- 
So, we have:



For GS
--- 
--- 
So, we have:



<em>The slope of BU and GS are not the same; hence, they are not parallel.</em>
<u>Taking BS and GU as a pair</u>
Calculate the slope
For BS
--- 
--- 
So, we have:



For GU
--- 
--- 
So, we have:



The slope of BS and GU are the same; hence, they are parallel.
<em>BUGS is a trapezoid because BS and GU have the same slope</em>