1) To find the slope of points on a coordinate plane you can use the slope formula: y2-y1/x2-x1. The points for rectangle EFGH will be labeled like this to find the slope of the opposite sides: E- -3, 5 ( x1). F- 6,2(y1). G- 4,-4 (x2).
H: -5, -1 (y2).
2) Now you know how to find the slope of the opposite sides of the triangle: insert the proper numbers into the formula I provided and you will find two slopes. For EF you will have -1/3 and for GH -1/3.
3) Moving on you still need to find the slope of the adjacent sides. You will have to relabel your points with EG being a pair and FH being a pair. Insert the proper numbers in the formula and you will find these answers. EG will have a slope of -9/7 and FH -3/11.
4) The next question ask you what do you notice about the slopes of the opposite sides. What do you notice? I notice that they both are the same.
5) The last question of this problem asks you what do you notice about the slopes of adjacent sides? I notice they both are negative slopes and very different.
This is a multi step problem. But I wanted to make sure you understand how easy slope can be.
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