help with this math graphing question?

Question

Ok, i have to graph a ploygon using vertex that i have created, which are (0,-5),(-3,-1),(1,6),(7,1). Since i have to find the distance/length of each side, i was just wondering if it matter which side i labeled A, B, C and D?

Lets say i chose (0,-5) as A, and (-3,-1) as B, and found the distance, would that matter? what if i did it vice-versa?

im just kind of confuse, thanks.

Answer 1

No, it does not matter which point you layble what... just make sure you specify which point is which in your answer with the distances. If you need help computing the distances, create another question, or email me... glad to help

Answer 2

First, make sure the points between whose positions you are measuring are adjacent points. Only two adjacent points will be on the same line of your polygon. It is beyond the scope of this answer to actually define adjacent points, but if you graph the points it will be obvious to the naked eye which points are adjacent.

If you pick (0,-5) as A and (-3,-1) as B that's okay. Then if you pick (1,6) as C and (7,1) as D your polygon is ABCD in clockwise order around the four edges. The sides are AB, BC, CD, and DA.

The length any side is SQRT [(x1-x2)^2 + (y1-y2)^2],
where (x1,y1) is one point and (x2,y2) is an adjacent point. It doesn't matter what order the points are chosen (AB versus BA) because the square of the difference in their co-ordinates is always positive and the same number regardless of the order.

Try it, first using (x1,y1) = (0,-5) and (x2,y2) = (-3,-1), then reverse the order so (x1,y1) = (-3,-1) and (x2,y2) = (0,-5). You get the same answer for the length either way, SQRT (65) or about 8.06.

Answer 3

I think you should label each point as follows:
A(0,5)
B(-3,-1)
C(1,6)
D(7,1)
Now your four sides are AB, BC, CD , and DA. That should eliminate the confusion.

It would make no difference how you place the letters. The length of AB is the same as the length of BA and you will get the same answer whichever way you choose.

Answer 4

First, rewrite the equation in slope-intercept variety, y = mx + b, the position m = slope and b = y-intercept: 4x - 3y = 8 - 3y = - 4x + 8 y = 4/3 x - 8/3 slope = 4/3 y-int. (0, - 8/3) To graph, initiate on the y-int., (0, - 8/3), bypass 4 instruments up (posittive slope) and three instruments to the right, then construct a line from right here decrease back to (0, - 8/3). amplify the line, if needed, to bypass both axes to provide it an finished representation.

Answer 5

It does matter. Find exact distance! <3

Answer 6

graph the points first and then label them...i think its kinda easier like that.